General recommendation is for 1 s.f. of ventilation/bird, or 10% of the foot print. Our winter temps can stay below 0*F for days at a time. My coop has 3 windows. In a blizzard or below 0* temps, I will close the windows, but open at least one of them when the sun rises in the morning. My coop also has louvered vents cut into gable ends, soffit vents, and a floor level vent. In order for ventilation to work at it's best, you need an intake and an outlet. Preferably with the intake low, and out let high, though your set up may not work well for that. Vents on opposite walls would work also.
If I had your coop, I'd consider cutting a nice big window into the wall on the run side.
Would the design of your coop allow you to put a soffit vent or cut in a louvered vent on the wall at the low side of your shed roof? You will need to take into consideration the direction of your usual prevailing winds.
With venting, if conditions warrant closing off the vents during a prolonged cold snap, or a blizzard, you can always do so. But... if you don't have the vents in the first place, you may have a build up of moisture, and have no way to regulate the coop conditions. I recommend keeping a hygrometer in the coop so you can keep an eye on the humidity levels. Let your nose dictate if you have ammonia issues. The slightest hint of ammonia smell is call for immediate action.