Trump is convicted, how can he still run for president?

 Simple! Article II, Section 1 of the Constitution lays down the requirements for President. 

"No person, except a natural born Citizen, or a Citizen of the United States, at the time of the Adoption of this Constitution, shall be eligible to the Office of President; neither shall any Person be eligible to that Office who shall not have attained to the Age of Thirty five years, and been fourteen years a Resident within the United States."

There's just three requirements, No part of the Constitution says people who have been convicted of crimes can't run for president.

Another thing to consider is the records could not have been falsified to defraud the voters in the 2016 election, because the Falsification was said to take place the following year in 2017. The election was over and the records were not made public.

The jury instructions given by Judge Juan Merchan dramatically favored the prosecution, telling them that while they had to unanimously conclude that Trump caused a false business entry to be made for the purpose of concealing "another crime."

They did not have to be unanimous as to what that other crime was. This will be one of the many issues that Trump’s legal team will raise on appeal. I would not be surprised if this conviction gets overturned, but that is not likely to happen before the election.