In order to connect to a web service, I need a X.509 certificate.
With this certificate I then need to send a public key to the customer support of this web service.
I am really clueless on how to generate this certificate. I had a look at a few website explaining what is X.509, but I did not find something helpful.
Basically I would like to know:
Take a look at the answer to this question. It involves using the makecert tool, which is available on Windows systems.
For more information on what makecert can do and how to do it, see this guide and the makecert documentation.