There's some misinformation in this thread. The recommendation on the car doorjam is nonsense: an all season tire will take a different pressure than a summer. The 33psi recommendation that is average for most cars, and the standard Jiffy Lube fill, is absolute crap. It's low for 99% of the cars/tires out there. It lowers gas mileage, and under very hard cornering (ie accident avoidance) the tire can roll off the rim and/or provide other very undesirable handling traits. It's impossible to provide an ideal psi for a car, it's tire dependant.
If your tire has a max pressure of 51psi, you need to take into account 4-5psi of added pressure from heat. That lowers the max PSI to 47. I would start with the PSI you are at, and every week add 3psi all around to get a feel for what it does, up to the max of 47, then back off to what feels best to you, which I would say off hand would be around 40psi.
You can dial in oversteer and understeer through tire pressure, too, but that's a whole different topic.
BTW, I did a 3 day defensive driving school for bodyguards, Tony Scotti's school; he developed the driving school for the Secret Service. They back everything they teach up with first hand experience, your driving on the tarmac. Cool stuff.