From where are you sending the data? Other window? From within the same web page?
You have probably exceeded the length for querystring so I am trying to figure out another way.
What about passing data through javascript within the page or using POST instead of GET when sending from another web page?
Edit:
I would try to move the SL from iframe directly to the page. -you would be able to communicate with the SL application directly through JS then. Especially, if you need to send the data only once when the SL application starts, you should pass it as parameters to the hosting the SL.
If getting rid of the iframe is not possible, pass the parameters through POST (a form sent).