Yet another broken SSL server which cannot do TLS1.0 or better. Browsers work around this kind of error by retrying with a downgraded SSL version.
Recent versions of LWP (base of WWW::Mechanize) use IO::Socket::SSL/Net::SSLeay by default and you can simply enforce a specific SSL version like this: 
$mech->ssl_opts( SSL_version => 'SSLv3');

[download]
I've tested it and it works with this broken server.

In reply to Re^3: LWP and HTTPS by noxxi
in thread LWP and HTTPS by Gangabass

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