How should I fix this broken carving?

I have this painted wooden carving of a snake. It’s fairly large (about 4ft long and all twisted, about 3” by ½” thick), and it was hanging on my wall. Made of a soft wood, the piece fell and broke into 4 pieces. It’s an art piece done by a good artist and worth a pretty penny.
I was thinking maybe a wood glue, but I don’t know if it would dis-color it. If I hold the pieces tight together I can’t see the cracks.
What is my best solution?