  By considering a version of Khovanov homology incorporating both the Lee and
$E(-1)$ differentials, we construct a $1$-parameter family of concordance
homomorphisms similar to the Upsilon invariant from knot Floer homology. This
invariant gives lower bounds on the slice genus and can be used to prove that
certain infinite families of pretzel knots are linearly independent in the
smooth concordance group.
