How to Make It
Start by frying the potatoes: heat 2 cups of the olive oil in a medium pot over medium-low heat until it reaches 250ºF on a candy thermometer. Slowly fry the potatoes until golden brown, about 20 minutes. Drain the potatoes on paper towels.
Using an electric mixer or whisk, vigorously beat the eggs in a large bowl with 1 teaspoon of salt until they're foamy. Add the cooked potatoes to the beaten eggs and let sit for one minute.
Heat the remaining 2 tablespoons of olive oil in a 6-inch sauté pan over high heat. Once the pan begins to smoke slightly, remove from the heat and pour in the egg-potato mixture. Return the sauté pan to the stove top and reduce the heat to low. The tortilla should puff up like a soufflé. Once it begins to set and the edges turn golden brown, place a plate over the pan and flip the pan and plate together so the tortilla ends up on the plate, uncooked side down. Slide the tortilla back into the pan, uncooked side down.
Make a small hole in the center of the tortilla to allow the egg in the center to cook. Once the tortilla sets, carefully flip the tortilla back over and allow the center hole to close up. Transfer the tortilla to a platter, season with salt and cut into wedges to serve.