Now that security on the net is becoming more of a concern, here are two websites for testing the soundness of your web connections. SSL/TLS is a negotiation between client and server, so you need to see what settings each endpoint will accept.
For the Server side, there is SSL Labs. With this site, you can put any URL in and get a score for how well configured the settings of that server are.
For the client side, there is How’s My SSL. This site will give you a readout on the browser that you’re currently using.