How much time does the coxsackie virus stay contagious?

Several weeks. This is from the Department of Public Health "When can a person spread the virus to to others? A person may spread the virus to to others just prior to the onset of symptoms, during the acute stage of illness and perhaps longer, since this virus may persist in the stool for several weeks. The incubation period is usually 3-5 days. I have copied the full link for more information http://www.ct.gov/dph/cwp/view.asp?a=3136&q=388270.