http://www.perlmonks.org?node_id=1083952


in reply to Re^2: LWP and HTTPS
in thread LWP and HTTPS

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');
I've tested it and it works with this broken server.