No particular aroma

Purple loosestrife?

appears to be a purple loosestrife of some kind. I grow some in my yard and it is a little brighter color than this one in your photo. It is a small woody shrub type plant, it will almost always grow from the ground up for me ea spring, it doesn't re-leaf on last years wood. I cut mine off about 6 inches tall in early spring, like feb or march.
It doesn't need a lot of water but does better with some, it is a bumble bee magnet for me. I have not noticed a fragrance, don't think it is.

Isn't loosestrife invasive?

I think it depends on the kind. But yes there is some that is very invasive, especially near waterways. The one I have in my yard has never seeded anywhere that I have found. It is my understanding that it is allowed in private gardens. I am assuming mine is some sort of sterile variety.

Tanx Frilly lilly, I remember a diff color on the loosestrife I have seen, so didn't wish to guess. Farther north like Jersey it goes crazy, south, is a diff type I guess...