How to use EF with SQLite and Visual Studio 2013

I would like to use SQLite with Entity Framework and Visual Studio 2013 Desktop Express.

To do this, I have a right click on the link and installed (with selected dependencies) "System.Data.SQLite (X86 / x64)" (version 1.0.94.1). NuGet packages

Now if I add a new item to my project and select ADO.NET Entity Data Model, I don't see the SQLite provider: I only have Microsoft SQL Server.

I have .NET Framework 4.5.1 and Windows 7.

This is my App.config

<?xml version="1.0" encoding="utf-8"?>
<configuration>
  <configSections>
     <section name="entityFramework" type="System.Data.Entity.Internal.ConfigFile.EntityFrameworkSection, EntityFramework, Version=6.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089" requirePermission="false" />
 </configSections>
 <startup>
     <supportedRuntime version="v4.0" sku=".NETFramework,Version=v4.5" />
 </startup>
 <system.data>
   <!--
    NOTE: The extra "remove" element below is to prevent the design-time
          support components within EF6 from selecting the legacy ADO.NET
          provider for SQLite (i.e. the one without any EF6 support).  It
          appears to only consider the first ADO.NET provider in the list
          within the resulting "app.config" or "web.config" file.
-->
   <DbProviderFactories>
      <add name="SQLite Data Provider" invariant="System.Data.SQLite" description=".NET Framework Data Provider for SQLite" type="System.Data.SQLite.SQLiteFactory, System.Data.SQLite" />
      <remove invariant="System.Data.SQLite" />
      <remove invariant="System.Data.SQLite.EF6" />
      <add name="SQLite Data Provider (Entity Framework 6)" invariant="System.Data.SQLite.EF6" description=".NET Framework Data Provider for SQLite (Entity Framework 6)" type="System.Data.SQLite.EF6.SQLiteProviderFactory, System.Data.SQLite.EF6" />
   </DbProviderFactories>
 </system.data>
 <entityFramework>
    <defaultConnectionFactory type="System.Data.Entity.Infrastructure.LocalDbConnectionFactory, EntityFramework">
       <parameters>
           <parameter value="mssqllocaldb" />
       </parameters>
    </defaultConnectionFactory>
    <providers>
        <provider invariantName="System.Data.SqlClient" type="System.Data.Entity.SqlServer.SqlProviderServices, EntityFramework.SqlServer" />
        <provider invariantName="System.Data.SQLite.EF6" type="System.Data.SQLite.EF6.SQLiteProviderServices, System.Data.SQLite.EF6" />
    </providers>
 </entityFramework>
</configuration>