# Stored data for newform 525.3.l.e, downloaded from the LMFDB on 19 April 2024.
{"label": "525.3.l.e", "space_label": "525.3.l", "level": 525, "weight": 3, "hecke_orbit": 5, "hecke_orbit_code": 18015154474058253, "dim": 24, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [8151025, 22611600, 31363200, 7172680, 5439926, 16637328, 28377632, 2637128, 1555023, 4398976, 6580864, 412336, 233556, 480192, 395968, 66992, 13791, 12656, 8704, 2056, 278, 48, 32, 8, 1]]], "char_order": 4, "char_parity": -1, "char_degree": 2, "char_conductor": 5, "char_orbit_label": "l", "char_is_real": false, "Nk2": 4725, "analytic_conductor": 14.305213878915588, "level_radical": 105, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [525, 4, [176, 127, 451], [4, 3, 4]], "inner_twist_count": 2, "level_primes": [3, 5, 7], "conrey_indexes": [43, 232], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 12, "sato_tate_group": "2.2.3.c4", "trace_display": [-8, 0, 0, 0], "traces": [24, -8, 0, 0, 0, 24, 0, 48, 0, 0, 0, 48, -64, 0, 0, -184, -24, -24, 0, 0, 0, -8, -8, 0, 0, -80, 0, 0, 0, 0, 96, -56, 72, 0, 0, 168, -8, -56, 0, 0, 320, 0, 112, 0, 0, 320, -64, -192, 0, 0, -192, -96, 72, 0, 0, -336, -48, 512, 0, 0, -496, 776, 0, 0, 0, -192, 192, -568, 0, 0, -144, -144, -224, 0, 0, 416, -112, 216, 0, 0, -216, -352, 32, 0, 0, 240, -384, -216, 0, 0, 0, -1304, 0, 0, 0, 168, 816, 56, 0, 0, 224, 240, -320, 0, 0, -16, 200, 144, 0, 0, 336, -224, 856, 0, 0, 416, 192, -400, 0, 0, -200, 1232, -360, 0, 0, 0, -64, 1168, 0, 0, -336, 792, 168, 0, 0, -112, -328, 576, 0, 0, 432, -536, -864, 0, 0, -672, 0, -904, 0, 0, 208, -664, -72, 0, 0, -576, -656, 80, 0, 0, -112, 72, 400, 0, 0, -896, 96, -504, 0, 0, -192, 992, -856, 0, 0, -1120, -384, 272, 0, 0, 1744, -504, 576, 0, 0, 96, -224, -880, 0, 0, 704, -1200, -760, 0, 0, -392, -232, -24, 0, 0, 528, -688, 448, 0, 0, 2144, 24, 2336, 0, 0, -400, 1864, -264, 0, 0, 72, 168, 48, 0, 0, -1200, 264, 1856, 0, 0, 592, 656, -1152, 0, 0, 0, 2688, -56, 0, 0, 80, 816, -1064, 0, 0, -1488, -360, 0, 0, 0, 864, -336, -152, 0, 0, -112, 0, 928, 0, 0, 376, -504, 480, 0, 0, -480, -448, 1336, 0, 0, 0, 360, -272, 0, 0, -352, -2568, -336, 0, 0, -2880, -1800, -2584, 0, 0, -1600, -912, -1184, 0, 0, 416, 728, -168, 0, 0, -96, -64, 136, 0, 0, 3408, -216, -1728, 0, 0, 336, -1568, -216, 0, 0, 816, -1152, 896, 0, 0, 2176, -888, -400, 0, 0, 176, 2024, 576, 0, 0, 960, -448, -1232, 0, 0, -400, 720, 2240, 0, 0, -1392, 3584, -24, 0, 0, 0, 2776, 2312, 0, 0, -1744, 168, 0, 0, 0, -2128, 1240, 2928, 0, 0, 288, 1768, 344, 0, 0, -5680, 0, -3336, 0, 0, -408, -1712, 0, 0, 0, 2304, -1184, 5320, 0, 0, 2576, 1872, -1992, 0, 0, 6240, -2640, 0, 0, 0, -288, -1992, -3952, 0, 0, -1728, -336, -80, 0, 0, -256, 336, 1008, 0, 0, 144, 1728, 8, 0, 0, 2032, -576, -512, 0, 0, 112, -1440, -2112, 0, 0, -912, -3584, 1120, 0, 0, 2128, 192, 3408, 0, 0, 3520, 192, -192, 0, 0, -3504, 1232, -4856, 0, 0, -1328, 576, 80, 0, 0, -2880, -2016, -2952, 0, 0, 504, 1936, -1576, 0, 0, -3408, 336, -1120, 0, 0, -1984, 4120, 2064, 0, 0, 2496, -2488, 3712, 0, 0, 1616, -336, 4048, 0, 0, -4976, -2016, -288, 0, 0, -1344, -1840, 5280, 0, 0, 560, -216, -3192, 0, 0, 5184, 128, -504, 0, 0, -216, -1088, -7856, 0, 0, 560, -1320, -272, 0, 0, -2592, 672, 1488, 0, 0, -2592, 8464, 480, 0, 0, 1808, -1344, 800, 0, 0, -784, -3304, -144, 0, 0, 5424, 4320, 896, 0, 0, -4976, -1536, 3616, 0, 0, 2000, 2816, -2376, 0, 0, 48, 56, -2640, 0, 0, 7200, 1848, 1392, 0, 0, -2416, 4408, -1296, 0, 0, -672, -1232, 4424, 0, 0, -3648, -288, -672, 0, 0, 4704, 184, 2328, 0, 0, -288, -928, 3920, 0, 0, -1184, 0, 3176, 0, 0, 4368, -8000, 168, 0, 0, -2664, -2352, 328, 0, 0, 336, 1704, -5552, 0, 0, -2960, -96, -336, 0, 0, 1776, -4344, -6024, 0, 0, 2064, -2448, 2784, 0, 0, 1232, 1008, 576, 0, 0, -1056, 1184, -5640, 0, 0, 2880, 1704, -4200, 0, 0, -3248, 1768, -2160, 0, 0, 576, -5728, 1288, 0, 0, 5408, -672, 4976, 0, 0, -2288, 1600, -2208, 0, 0, 240, -448, -4144, 0, 0, 2592, 4752, -1344, 0, 0, -3888, 416, -432, 0, 0, -672, -3072, 5176, 0, 0, -10752, 672, -896, 0, 0, -4144, 4640, 4800, 0, 0, -96, 416, 4464, 0, 0, -3776, -2016, 3304, 0, 0, -5240, -296, 3072, 0, 0, -2064, 2896, 3816, 0, 0, 0, -1200, -6160, 0, 0, 1344, 1704, -336, 0, 0, 768, 1152, -6832, 0, 0, 160, -648, -2848, 0, 0, 9200, 2744, 3312, 0, 0, -48, 3728, -3408, 0, 0, -3776, 1032, 2040, 0, 0, 224, -2184, -3504, 0, 0, 4248, 3648, 4760, 0, 0, 2464, -2112, -416, 0, 0, 320, -1680, -1056, 0, 0, 2112, -560, -1736, 0, 0, 11920, -96, -5248, 0, 0, -560, -3168, -2640, 0, 0, 0, -5160, 10912, 0, 0, 1792, 1008, 784, 0, 0, 12512, 3376, 8256, 0, 0, 432, 392, 3096, 0, 0, 128, -2352, 1888, 0, 0, 880, -11760, -1152, 0, 0, -1152, 1824, 1672, 0, 0, 1456, 648, -48, 0, 0, -2080, 1448, -1680, 0, 0, 2064, -576, -2768, 0, 0, -12080, -24, -3216, 0, 0, 1152, 1792, 1824, 0, 0, -7488, 3232, -9408, 0, 0, -2336, 1056, -80, 0, 0, -1456, -3992, -3912, 0, 0, 4080, 7744, 168, 0, 0, -6064, 0, 5312, 0, 0, -6728, -7296, -4704, 0, 0, -576, -896, -6920, 0, 0, -656, 4056, 2016, 0, 0, -832, -1416, -5808, 0, 0, -2016, -1320, 136, 0, 0, -8512, 1728, -3752, 0, 0, -1216, 12592, 2448, 0, 0, 960, -5528, 6376, 0, 0, -1328, -168, 6864, 0, 0, -592, -9328, 4872, 0, 0, 0, 1120, 5712, 0, 0, 4592, -1008, -80, 0, 0, 3136, 6864, -672, 0, 0, -4176, -112, -7216, 0, 0, 608, -3312, 1984, 0, 0, -336, 1456, 720, 0, 0, -4512, 1664, -1136, 0, 0, 7792, 960, -10720, 0, 0, 448, 3752, 768, 0, 0, 912, 3136, 3808, 0, 0, 4080, -7848, 4768, 0, 0, 5568, 5480, -5520, 0, 0, 6288, -4760, -5864, 0, 0, 10384, 4224, 7904, 0, 0, -2184, 5760, 600, 0, 0, -3360, -2000, 11728, 0, 0, -6256, -432, 1064, 0, 0, -1104, 4360, 5232, 0, 0, 672, 8, 336, 0, 0, 14368, -2016, 1968, 0, 0, 2096, -12712, 1344, 0, 0, 720, 1056, 1312, 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, 5, 3, -1, 4, 0]], "char_orbit_index": 12, "prim_orbit_index": 3, "minimal_twist": "105.3.l.a", "char_is_minimal": true, "conrey_index": 43, "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}