It was towed. The fine was 355 in total... I hope the most expensive I'll ever get, but not as high as I had feared... I had to take a taxi that costed me 23 to get there.. Not as great.

I tried to find the free parking that was mentioned, but I wasn't able to find it so I ended up in the Alinghy marina parking facility... at 23 chf for the first day and relatively reasonably 16 for add days...