No, SpamCop does not report sites to Google. As specified on one of
the SpamCop FAQ pages ( http://www.spamcop.net/fom-serve/cache/3.html
), "SpamCop will parse the headers of unwanted email and (if all goes
well) phrase a complaint to the system administrator responsible for
the spammer's internet access."
In other words, the only entities receiving a SpamCop spam report are
the ISP you're using to send the alleged spam, and the ISP(s) hosting
sites mentioned in the alleged spam.
You do mention, however, that your site was down briefly as a result
of the SpamCop reports. The actual detailed methods used by Google to
determine search results are closely-guarded trade secrets, but it
seems logical that an "unreliable" site could be bumped down a couple
of slots in the search results. This is more likely to have an effect
if your site is "spidered" more frequently by GoogleBot, typically
because you have frequent content updates. If your site is relatively
static, and was only down for a few days, it's unlikely that the
GoogleBot would have checked your site for updates in that time.
It is also important to consider how your site was disabled. If the
actual IP was unreachable, the potential adverse effects are fewer
than if your ISP served a page that said "this site has been disabled"
or similar. In the latter case, Google may assume that your site has
been permanently removed from the Web. If the IP was unreachable, the
GoogleBot would probably simply try again later, assuming a connection
problem of some sort.
Even in the event that your site was seen to be down or removed, now
that it's back up, you should return to your previous standing in
time, if you were ever even "penalized" at all. You can, of course,
periodically check your standing in Google for various relevant terms
to reassure yourself that you're still in the index.
Regardless, even if you did earn a temporary penalty in Google's eyes,
there's nothing you could do about it except to avoid repeating the
actions that caused it.