The only reason I would not suggest other browsers like chrome or fire fox is the security is a little more trimmed down and you may be by passing the server's security protocol when access your account information. I had to read up a bit on SSL and TLS myself, see below from http://techweb.com/encyclopedia
(Transport Layer Security) A security protocol from the IETF that is based on the Secure Sockets Layer (SSL) 3.0 protocol developed by Netscape. TLS uses digital certificates to authenticate the user as well as authenticate the network (in a wireless network, the user could be logging into a rogue access point).
The TLS client uses the public key from the server to encrypt a random number and send it back to the server. The random number, combined with additional random numbers previously sent to each other, is used to generate a secret session key to encrypt the subsequent message exchange.
Also, you will notice when you do access the site using IE the certificates are mismatched. That is an IE 9.0 and possible an IE 8.0 issue but you can still get past that by continuing to site and it is still secure. Question for you is why are you using an out dated browser? Even if you are using chrome or FF you should update that as part of your OS (Windows). The other browsers will also take advantage of the added security if you keep up with updates.
