Help for REGEX

Hello,
I ask for help to set up a redirect, with regex.

My starting url is this (old site no wp):
http://www.mysite.com/?page_id=page_name&obj_id=1234

“page_name”, it is always the same!

and the target url is this, without query arg:
http://www.mysite.com/my-page/

I tried putting the redirect like this:
^page_id=page_name&obj_id=(.*)
^/?page_id=page_name&obj_id=(.*)

^/?page_id=page_name&obj_id=(\d+)
^page_id=page_name&obj_id=(\d+)

^page_id=page_name&obj_id=[0-9]*$
^/?page_id=page_name&obj_id=[0-9]*$

where am I wrong?

thank you for your attention and assistance
Regards