2-adic slopes of Hilbert modular forms over Q(√5)

We show that for arithmetic weights with a fixed finite order character, the slopes of U_{p} for p = 2 (which is inert) acting on overconvergent Hilbert modular forms of level U_{0}(4) are independent of the (algebraic part of the) weight and can be obtained by a simple recipe from the classical slopes in parallel weight 3