# Stored data for newform 520.2.e.a, downloaded from the LMFDB on 03 May 2024. {"label": "520.2.e.a", "space_label": "520.2.e", "level": 520, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 274911461896, "dim": 28, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[11, [-360000, 393200, 741552, -689424, -525768, 346768, 175056, -69432, -27712, 6408, 2132, -268, -76, 4, 1]]], "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 104, "char_orbit_label": "e", "char_is_real": true, "Nk2": 2080, "analytic_conductor": 4.15222090510658, "level_radical": 130, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [520, 2, [391, 261, 417, 41], [2, 1, 2, 1]], "inner_twist_count": 2, "level_primes": [2, 5, 13], "conrey_indexes": [181], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 28, "sato_tate_group": "1.2.3.c2", "trace_display": [0, 0, -28, 0], "traces": [28, 0, 0, 0, -28, 8, 0, 0, -28, 0, -8, -6, 0, 4, 0, 4, 0, 18, -16, 0, 0, -12, -12, 10, 28, 4, 0, 18, 0, -8, 0, 30, 0, 14, 0, 24, -8, 30, -12, 0, 0, -2, 0, 24, 28, 8, 0, 0, -44, 0, 0, -30, 0, -14, 8, -4, 0, -46, -16, 6, 0, -10, 0, 12, 0, -8, -36, -30, 0, -4, 0, 30, 0, 20, 0, -18, 0, -22, 0, -4, 28, 18, -20, -62, 0, -58, 0, -26, 0, -18, -8, 6, 0, 56, 16, -48, 0, -28, 72, 0, 0, 56, -68, -4, 0, 46, 0, 86, 0, 12, 0, -66, 0, 80, 12, -8, -24, 10, 0, -10, 28, 30, 40, -38, -28, -44, 20, 56, 16, -4, 0, 34, 0, -32, 0, 74, 0, 110, 0, -18, -16, 16, 20, -20, 0, -52, 0, -6, 0, 8, 0, -32, 0, -50, 0, -48, 0, -12, -72, -30, 0, -78, 20, 86, 0, -60, 0, 54, 12, -14, 88, -4, 0, -14, 0, 26, 0, -16, 0, -24, 0, 36, 32, -78, 8, 8, 56, -50, 0, -30, 40, -22, 0, -24, 12, 0, 0, 86, 48, 0, 0, -48, -112, -40, 0, 94, -4, -30, 0, 2, 0, 90, 16, 82, 0, -142, -56, -4, -56, -24, 40, 50, 0, 116, -28, -26, -36, -74, 0, -8, 48, 90, -8, 26, 0, 50, 0, -140, 0, 0, 0, 90, 0, 76, 44, -28, -52, 4, 0, 0, 0, 38, 24, 82, 0, -28, 8, -166, 0, 30, 0, -136, 76, -64, 0, -50, 56, 98, 0, 14, 0, 54, -16, -16, -8, -132, 0, -52, 0, 4, 0, 146, 0, -160, 0, 38, -96, -140, 20, 46, -56, -70, 40, -148, 16, -80, 0, -84, -56, -6, 64, 28, -72, 12, 0, -134, 148, -50, 0, 10, -24, 72, 48, 72, 0, 4, 0, 92, 0, -12, 32, 2, 48, -12, 0, -80, 0, 14, -16, 8, 72, -62, 56, 56, 36, 230, 16, 96, 0, 30, 0, -104, 0, 40, 0, 86, 0, 126, 128, 4, 112, 80, 0, -140, 0, 24, -48, 72, 0, -30, -4, -146, 0, 18, 0, -126, -116, -132, 0, -20, -56, 174, 0, -92, 0, 0, -56, -56, 168, 18, 0, -24, 0, 138, 0, 68, 0, -80, 0, 22, 24, -132, -64, 36, 0, -66, 0, -108, 112, 4, 0, -46, 68, 80, -28, 116, -168, -60, 0, -18, -192, 164, 0, 246, 20, 2, -144, 226, 0, 62, 56, 40, 0, -102, 0, 124, -88, -76, -104, 58, 0, 26, 88, 66, 0, -148, 8, 110, 96, 26, 124, -78, 0, 226, 0, -52, 0, 86, 0, 18, 0, -74, -160, -32, 8, -28, 0, -102, 0, -6, -24, 220, 0, -4, 0, -100, 0, 134, 0, -56, 168, -16, 0, -56, -16, 128, 0, -110, 0, 48, -64, 10, -304, -140, 0, -32, 0, 214, 0, 28, 0, -236, 0, -92, -72, -224, -40, 178, -112, 0, -112, -72, 20, -216, 0, -80, -144, -72, -80, -56, -8, -18, 0, -152, 68, 100, 0, 216, -232, 4, 8, 282, 0, 72, 0, 102, 0, -106, 12, -46, 80, -42, -16, -76, 0, 108, 96, -40, -56, -86, -104, -172, -24, 54, 0, 74, 0, 156, 0, -12, 0, 78, 0, 106, 0, 64, -104, 100, 68, 66, 0, -14, 0, 98, 0, 206, 0, 98, -56, -80, 0, 26, 0, -308, -12, 48, 0, -44, -152, 8, 0, 80, 0, 184, 24, 32, 268, -14, 0, -10, 0, 234, 0, -132, 0, -208, 0, -30, 64, 10, -72, 98, 108, -120, -28, -100, 116, -82, 0, -30, 136, -110, 16, 96, -40, 46, 0, -262, -168, 38, 0, 32, 264, -146, 28, 210, 0, 76, -32, 44, 0, -128, -128, 212, -20, -28, 88, 38, 0, -56, -72, 98, -4, -206, -16, -60, 52, 238, -64, 4, 0, 274, 0, 44, 0, 82, 0, 172, 0, -34, 40, 44, 0, -96, 0, -136, 0, 6, 0, 32, 0, -346, 16, -126, 0, -36, 0, -240, 104, -74, 0, -154, 140, 104, 0, 52, 0, 26, 16, -110, -288, 26, 0, 56, 0, 270, 0, -90, 0, 18, 0, -50, -176, -192, 16, 16, -56, -46, 256, -16, -224, 40, 0, 16, -20, 144, 16, 8, -128, 20, 0, -250, 192, -132, 0, 238, 12, -336, 68, 52, 0, 46, -40, 42, 0, -160, 40, 194, 112, 6, 72, 104, 0, 232, 0, 112, -76, -328, 176, -8, -184, 266, -32, 130, 0, 328, 0, -116, 0, 32, 0, 110, 0, 104, 0, -44, 108, 184, 0, 50, 0, -68, -32, 404, 0, -56, 80, -104, 0, 48, 0, -204, -112, 40, 0, -40, 92, 76, 0, 12, 0, 40, -48, 180, 72, -64, 0, -72, 0, 30, 0, 252, 0, -314, 0, -156, 224, -320, -8, 78, 176, -28, 16, -230, -20, -32, 0, -94, 296, -86, -8, -132, 100, -84, 0, -418, -180, -200, 0, 60, 56, -22, -16, 212, 0, -16, -16, 120, 0, -54, -20, -260, -8, 36, -12, -152, 0, 74, 112, 14, 88, -378, 144, 128, -88, 68, 136, 256, 0, 4, 0, -106, 0, 78, 0, 76, 0, 182, -112, 14, -108, -60, 0, -116, 0, 38, 24, 204, 0, -26, -120, -290, 0, 338, 0, -232, 228, -74, 0, 16, 40, 118, 0, -236, 0, 96, 32, -102, -328, 24, 0, -48, 0, 354, 0, 36, 0, -194, 0, -36, -120, -186, -8, -112, -32, -146, -168, -224, -160, 78, 0, 2, -228, 92, -8, 120, 332, -38, 0, -8, 216, 172, 0, 92, -56, -290, 120, 204, 0, 50, 16, 24, 0, -72, 0, 52, 12, 20, -104, 30, 0, -136, 40, -62, -40, -306, -192, 220, -232, 22, -60, 40, 0, 310, 0, 156, 0, 30, 0, 24, 0, -294, -40, 72, -12, -124, 0, 122, 0, 0, 80, 428, 0, 232, 0, -264, 0, 144, 0, -86, -232, -246, 0, -70, -48, 194, 0, -62, 0, 0], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 104, 5, 1, 2, 0]], "char_orbit_index": 5, "prim_orbit_index": 5, "minimal_twist": "520.2.e.a", "char_is_minimal": true, "conrey_index": 181, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}