The Shinnecock Indian Nation is trying to show the leaders of tony Southampton that hedgerows for billionaires aren’t the only tall things that can go up on the East End.

The tribe is in the middle of erecting two massive, 61-foot-high signs that will loom over Route 27, the main road into the exclusive Hamptons enclave, bearing the Shinnecock seal and bright video screens.

Work has already begun, but Southampton leaders are fighting tooth and nail against the project, which they describe as a garish eyesore that they don’t want to be the first thing well-heeled Hamptons visitors see as they arrive this summer.

“This is more befitting of Times Square or Las Vegas. It’s out of character,” Southampton Supervisor Jay Schneiderman told The Post. “People are driving on that highway to escape that urban environment to come out to the Hamptons.”

The town issued a stop-work order last Friday, Tribal Trustee Lance Gumbs told the Hamptons blog, 27east.com.

But the tribe is ignoring the demand and continuing the construction, with Gumbs telling the site that the town’s code officials have no authority over sovereign tribal land.

The tribe put out a statement this week that said the signs were part of a larger project to “alleviate the economic disparity between the Native community and the surrounding Southampton area,” according to 27east.

The tribe’s leaders also have referred to the structures as more than just signs, calling them “monuments” in an interview with the Southampton Press.

The tribe — which in the past has tried and failed to build a casino on its land — did not respond to several requests for comment.

But its claim of sovereignty — in which members are beholden to federal laws only regarding Native American relations — isn’t stopping Southampton officials from fighting the signs.

On Monday, the Town Board delivered a letter to tribal leaders that reads, “These ‘urban’ style illuminated signs, towering above the pine trees, are in stark contrast to all that represents the natural and scenic beauty of the town.”

Officials added that the tribe’s plans “exemplify the very degradation such overdeveloped, urban-styled features have on the bucolic landscape.”