How spring constants in angle_style cosine and cosine/shift are related?

I was confused by how the bending energy formula is defined for angle_style cosine and cosine/shift.

Cosine: angle_style cosine command — LAMMPS documentation
Cosine/shift: angle_style cosine/shift command — LAMMPS documentation

The formula for the cosine one is
E = K(1+cos(theta))
While the formula for the cosine/shift is
E = -(U_min/2)*(1+cos(theta-theta_0))

Does that mean the relationship between K and U_min is,
K = -(U_min/2)
and for a bend with K = 52, equivalent bend would have U_min = -104 ?