Ham and Cheese Quiche with Hash Brown Crust

Ingredients

• 2 pounds yellow potatoes (like Yukon Golds), grated (about 6 cups)
• ¼ cup olive oil
• ½ teaspoon salt, divided, and ground black pepper
• 6 large eggs
• 2 cups half-and-half
• ½ cup thinly sliced scallion greens
• 6 ounces good quality ham, cut into small dice (about 1½ cups)
• 6 ounces (about 1½ cups) grated sharp cheddar cheese