Dendritic cells need a couple of hours to process and present the soluble or particulate antigen on the surface. However it depends on the nature of the antigen. I have experience in working with two viruses (with BMDC) and I normally infect them for 2 hours and wash the free virus and add the T cells for co-culture for 65 hours. It should work for adenovirus as well. Can the virus you are using infect the DC? if it can infect the DC well enough, shorter infection time should also be sufficient. Make sure you titrate to find the best virus concentration for the infection and subsequent antigen presentation assay, since increased virus can cause toxicity and death of DC before it can present the antigen to the T cells. And also, if the virus can replicate in DC, it can be transferred to T cells and failure of their proliferation. Good luck.