Thank you, Stream Recorder,
I tried
Jaksta, and it didn't even intercept the rtmp stream, let alone download.
I am looking forward to trying
CooJah.
I didn't supply --app because it did not show up anywhere. As seen from above, the "full path" seems to be:
rtmp://st-0-{3,4}.teleru.com:1935/?check_ip=<IP>&exp=<exp>&file=<path-to-file>.mp4&host=&max_time=210&route=st-0-{3,4}.teleru.com&start=0&sign=<sign>
Debug log:
http://pastebin.com/raw.php?i=tD3fxX2J