The more this picture is sinking in, I have two trains of thought:
1) The picture is meant to give a sense of the character. We have Leto, the Keith Flint haircut, and (I'm assuming) the perma-white skin. Those are the character's visual aspects. The rest of the picture is meant to be visually arresting, shocking, and discomfort-inducing. The tattoos are simply a cheat code to let viewers of the picture get an idea of his psychoses.
In the picture of Leto holding his phone, you can see the scar above the eye, but not the forehead or eye tattoos. Not saying they're definitely not there, but this is a minor Exhibit A for this argument.
2) This actually is what the Joker will look like. With the complete lack of any subtlety. Seriously, no matter how "CARRRR-AAAAZY" they want The Joker to read to audiences, having actual "ha ha ha"s tattooed on him is ****ing embarrassing. And "Damaged" on the forehead? Get the hell out of here.
I really, really hope it's the former. In this picture, Leto shows what I thought - visually, he can make a good Joker.
But if it's the latter, my expectations will be very low. It's like they took the absolute worst and most base aspects of the Azzarello Joker run, and stripped it of any meaning, leaving behind only the shock and superficial attention seeking.