Amaryllis (Hippeastrum) with too many flowers?

Hi guys, this is my first Amaryllis/Hippeatrum.

It should have been a white one but it turned out to be a Picotee.

I bought it as a bulb and it grew four flower stems, three are really tall and one is smaller.

The problem: each stems bears four/five flowers. Are they too many? Should I prune some? Is the vase too small?

I'll buy some supports but I fear for him.