Why does the connection hang when I connect to my SSL-aware Apache server?

Because you connected with HTTP to the HTTPS port, i.e. you used an URL of the form ``http://'' instead of ``https://''. This also happens the other way round when you connect via HTTPS to a HTTP port, i.e. when you try to use ``https://'' on a server that doesn't support SSL (on this port). Make sure you are connecting to a virtual server that supports SSL, which is probably the IP associated with your hostname, not localhost (127.0.0.1).