What was the new name for Switerland during the French Invasion?
Early Modern Switzerland: The early modern history of the Old Swiss Confederacy ("Eidgenossenschaft", also known as the "Swiss Republic" or "Republica Helvetiorum") and its constituent Thirteen Cantons encompasses the time of the Thirty Years' War (1618–1648) until the French invasion of 1798. Switzerland in the Napoleonic era:  In 1798, Switzerland was completely overrun by the French and was renamed the Helvetic Republic.
Helvetic Republic