need help understanding a notation

[40yrslater]

In a Chopin piece with 3 flats (Nocturne in E flat), on the first line, there is a high C note.  Above it (top down) is: 24321, under that is a flat sign, under that is a sign like the math infinity sign, under that is a natural sign.
I know you play 5 notes quickly but one question is, which is the high C? and then what is flatted, and what is natural ("de-flatted).
My, totally uneducated guess, is that you play it in this order: B flat, D flat, C, B natural, A flat.  Could that be right?
Is there any general rule that I can remember to decipher such notations?
Any help greatly appreciated.
Thanks!
 

[brogers70]

I would play it C Db C B natural C. The thing like an infinity sign is called a turn. If it occurs directly above a note you play the note it self, then a step up, then the note itself, then a step down, then back to the original note. The flat and natural sign apply to the notes above and below the main note. The fingering works well, too. I'm guessing that the next note, beyond the bit you've described is higher than the C, which is why you end the turn on your thumb.

[j_menz]

What brodgers said.

If the accidental is above the turn sign, then the top note of the turn is affected. If the accidental is below, then the bottom one is. In this case, there are both.

The piece in question is Chopin's Nocturne Op 9 No 2 - it helps if you actually identify it.

The reason for the need to get the thumb finishing on the C is that the next note is the C an octave up.