Changing to SSL on an existing site

I've changed the site where Piwik is located to SSL.

After the change only the basic website where Piwik is located shows up with the correct links while hovering the entries. All others show links to the Piwik installation. Did I miss something? I checked the Piwik code, but it didn't change. It covers https and http as well.

I'm kind of clueless on this task. All reading of FAQ and forum threads didn't help in any way.