in my perl 5.10 version
...
500 SSL negotiation failed:

5.10 is 15 years old. If your version of openssl (not the perl module, the application library and binaries) is similarly out of date you will have almost no chance of connecting to a modern website using TLS (ie. https).

Run the code on an up-to-date system as bliako has done and you'll have much better results.