Yes, the center.
Since the coil doesn't have a fully open center like the 8" does, it can be a little tricky to tell where the exact center is.
If you look at the 'x' created by the coil's support struts, you'll see they cross at a spot ahead of where the shaft connects.
You could always put a little sticker, or spot of paint there to help visualize 'center' while in the field.
As with any coil, the best pinpoint accuracy is obtained by getting best signal left-to-right then turning yourself 90 degrees to the target and going left-to-right again.
This eliminates any errors in pinpointing introduced by asymmetry of the coil, and minimizes user error.
To aid in this process, I will usually place the coil (lightly) on the ground after getting the strongest signal from the first left-right pass... move myself around (90deg, or 'at a right angle')...all while carefully rotating the coil (still touching the ground) on it's center axis.
That way, the next/final left-right pass gives me the most accurate x-ing possible.
Place the coil back on the ground (again at the strongest signal).
Mentally focus on the center of the coil...reach down and quickly place your finger at that spot on the ground after moving the coil away.
Some people (myself included) will sometimes use a golf tee, or something similar to mark the spot.
(Especially if the signal sounds deep.)
This help you keep your exact pinpoint location while putting down your detector, and retrieving your digger.
Most are surprised at how accurately you can pinpoint with a large coil using this technique.
In the days of screwdriver/probe retrieval, it was critical to pinpoint as accurately as possible.
Since the proliferation of the Lesche, we've gotten a little sloppy/lazy about pinpointing.