# Stored data for newform 8281.2.a.cw, downloaded from the LMFDB on 30 January 2025. {"Nk2": 33124, "analytic_conductor": 66.12411791382229, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[7, -1], [13, 1]], "atkin_lehner_string": "-+", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [8281, 1, [1522, 3382], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 24, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[2, [-1, -409, 5624, -20608, 1043, 100325, -78471, -200636, 203235, 223766, -248800, -155265, 178299, 70214, -80644, -20967, 23647, 4082, -4477, -496, 527, 34, -35, -1, 1]], [3, [-28469, -139748, 17661, 866298, 585002, -2107151, -2034767, 2645647, 3029851, -1934439, -2516174, 872814, 1283052, -248353, -419202, 44295, 89003, -4770, -12168, 282, 1030, -7, -49, 0, 1]], [5, [346087, -774592, -5400689, 15503853, 10668795, -55509575, 5236946, 80765026, -29824970, -57919256, 30657240, 21458499, -14863550, -3849415, 3928942, 173985, -590170, 49183, 48885, -8750, -1887, 560, 8, -13, 1]], [11, [64936579, -100556320, -982528243, -49158285, 2975928970, 668648141, -3822774872, -893679286, 2573323690, 511073854, -994996727, -151434176, 232911908, 25603662, -34060254, -2593686, 3152134, 159579, -183158, -5835, 6433, 117, -124, -1, 1]], [17, [-85617259, 6089121220, -80352747853, 321386677704, -380967159176, -169822804339, 445068055162, -73362353218, -160466041885, 61472992871, 22440693108, -13789376591, -1063873188, 1526462789, -52459210, -96629801, 9004413, 3659754, -477080, -81819, 12871, 992, -178, -5, 1]]], "hecke_orbit": 75, "hecke_orbit_code": 333266372458979417, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": true, "is_maximal": false, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "8281.2.a.cw", "level": 8281, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [7, 13], "level_radical": 91, "minimal_twist": "1183.2.e.k", "prim_orbit_index": 1, "related_objects": [], "relative_dim": 24, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "8281.2.a", "trace_display": [1, 0, 13, 0], "traces": [24, 1, 0, 23, 13, 14, 0, 0, 26, -5, 1, -5, 0, 0, -5, 17, 5, 0, 24, 34, 0, -14, 11, 32, 33, 0, 21, 0, 4, -22, 40, 6, 24, 36, 0, -15, 4, 29, 0, 4, 49, 0, 13, -10, 58, 10, 62, -89, 0, 23, -21, 0, -18, 12, 14, 0, 13, -56, 79, -22, -13, -12, 0, 18, 0, 38, 2, 12, 28, 0, 19, -81, 17, 17, -24, 58, 0, 0, -9, 63, 16, 22, 81, 0, 34, -22, -70, -33, 72, -1, 0, -4, -19, 30, 13, 11, 45, 0, 39, 70, -66, -4, 8, 0, 0, 75, -15, 115, 2, 20, 105, 0, -63, 97, 59, 75, 0, 36, 0, 23, -15, 79, 24, -3, 75, 0, 26, 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