WASHINGTON — Claiming it wants to negotiate a “much better deal for all Americans,” the Trump administration on Monday revealed its most detailed list of objectives to date for an overhaul of the North American Free Trade Agreement with Mexico and Canada.

The United States Trade Representative said a revamped Nafta must include provisions to eliminate unfair subsidies and give the United States broader authority to crack down on an influx of cheap products.

Trade is a centerpiece of President Trump’s economic agenda, and the renegotiation of Nafta has been a pillar of his promise to revive American manufacturing. “Too many Americans have been hurt by closed factories, exported jobs and broken political promises,” said Robert Lighthizer, Mr. Trump’s trade representative.

The 17-page document the administration sent to Congress echoes Mr. Trump’s tough talk on trade by making the reduction of America’s trade deficit with its neighbors its top priority. However, it also builds off the Trans-Pacific Partnership trade deal that Mr. Trump abandoned when he took office, borrowing concepts about labor regulations and the environment.