Do you have more pictures like a side view and front view, top view? These can be used as sketch pictures and import to solidworks where you can start by tracing splines to create sketches.
Whatever, I thnk you need to provide some more inftormation.
Try breaking the shape up into smaller pieces, perhaps the main body, the five protrusions and the blends between the protrusions, all as separate surfaces. If the part is symmetrical, make one half, then mirror and merge to get the final shape.