Download and install Netfabb Basic from www.netfabb.com
Open the STL file
Click Repair (the red + icon)
Observe the various areas hilighted in yellow (not orange). Those are holes that need to be closed. (there are 7700 of them)
Right click on the main body of the car. In the menu, select "Select this Shell"
Right click again, and select "Remove Selected Triangles"
This will remove the main body, leaving a lot of "debris" around the model.
Your model has 6678 shells, and 7700+ holes. Generally, this is due to a bad boolean operation, but can also be because the STL export routine did the job badly.
You might succeed in fixing this if you uploaded the model to cloud.netfabb.com, but it's very possible that their service will have the same problem with the model because Shapeways uses the same software.
What software did you build this model with? If there is some other export option, that may offer another solution.