To prepare the shrimp, pat the shrimp dry with paper towels. Make small incisions along the bottom of the shrimp to straighten them without cutting through. Season lightly with salt and white pepper.
To prepare the wrappers and eggs, cut the spring roll wrappers diagonally in half, then beat the egg in a small bowl for sealing.
To assemble the rolls, place a wrapper on a flat surface with one corner pointing upward. Place one shrimp near the bottom edge with the tail sticking out, and add a few scallions. Fold the bottom corner over the shrimp, fold in the sides, brush the edge with egg, and roll tightly to seal.
To fry the rolls, heat the cooking oil in a pot to 335°F (168°C). Fry the shrimp rolls in small batches for about 3 minutes until golden brown, turning occasionally for even cooking.
To serve, remove the rolls and drain on a wire rack. Serve immediately while hot and crispy.