There are a total of nine lifting points on the LS. Two under the rear, three under the engine cradle, and two on each side rail.
The only places you can really put jack stands are the lifting points under the rocker panels, directly behind the front wheels and ahead of the rear wheels (where the cut-outs for the factory jack are located). You might be able to put jack stands under the engine cradle, but I don't remember if there are any suitable surfaces for that.
There are vaguely egg-shaped protrusions in the cross-beam of the engine cradle that are lifting points; if you have an LSE front bumper cover, they're nigh on to impossible to reach unless you have a low-profile jack. (Actually, I can reach them with my 3-ton floor jack, but the air dam is so low that I can't operate the jack. Bummer.)
I'm not sure exactly how to describe the jacking points under the rear suspension. It's called the "suspension crossmember", #8 in the diagram seen here:
http://www.trademotion.com/partloca...0025&callout=3&catalogid=2&displayCatalogid=0 The lifting points are on the parts that run more or less along the longitudinal axis of the car (the punkin hangs between them, and is NOT a lifting point), the parts with the mounting bolts that fasten the crossmember to the chassis.
Do NOT, under ANY circumstances (other than life or death, obviously), jack the car up by the suspension components. This is important enough that it's mentioned at least twice in the shop manual for the LS. I'm not a metallurgist or ME, but as was explained to me, jacking the car up by one of the aluminum suspension components (which would be most of them) can "crease" the aluminum, which can lead to an unexpected, catastrophic failure of that component--where iron/steel will deform, aluminum tends to fracture.