The panel has 4 10-32 studs welded to it, two near the corners on the bottom and two along the top edge, just slightly outboard of the turn and ignition lamps. Behind the dash, there are 4 wing nuts that go on those studs to hold the panel to the dash.
IIRC it's nearly impossible to reach the top two wing nuts with the heater installed, so remove the nut inside the engine compartment and one of the braces, so you can lower the heater to rest on the tunnel and reach over it to get to the wing nuts. You'll still have to work by feel, but at least the heater core won't strip the flesh off the back of your hand.
But I just left the (optional) heater out, so perhaps I've mis-remembered.
Not very good, but you can see one of the lower studs peeking out between the ammeter wires in this photo:
https://i258.photobucket.com/albums/hh260/TR3driver/TS39781LO/Ammetershunt1.jpg
PS, Don't forget, you'll need to disconnect the line to the oil pressure gauge, and make sure there is sufficient slack in the line to the temperature gauge, BEFORE trying to remove the panel. Generally I've found it wise to remove the temperature gauge entirely before taking the panel loose, as the capillary tube is fragile and very prone to get hung up on things.