# Stored data for newform 441.2.w.a, downloaded from the LMFDB on 19 April 2024. {"label": "441.2.w.a", "space_label": "441.2.w", "level": 441, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 1511862043065, "dim": 120, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 14, "char_parity": 1, "char_degree": 6, "char_conductor": 147, "char_orbit_label": "w", "char_is_real": false, "Nk2": 1764, "analytic_conductor": 3.521402729138465, "level_radical": 21, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [441, 14, [344, 199], [7, 11]], "inner_twist_count": 4, "level_primes": [3, 7], "conrey_indexes": [62, 125, 188, 251, 314, 377], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 20, "sato_tate_group": "1.2.3.c14", "trace_display": [0, 0, 0, 0], "traces": [120, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -44, 0, 0, -4, 0, 0, -56, 0, 0, 0, 0, 0, 112, 0, 0, -76, 0, 0, 28, 0, 0, 8, 0, 0, -40, 0, 0, -84, 0, 0, -140, 0, 0, 0, 0, 0, 12, 0, 0, -84, 0, 0, 24, 0, 0, 16, 0, 0, 112, 0, 0, 0, 0, 0, -84, 0, 0, -24, 0, 0, 140, 0, 0, -96, 0, 0, -24, 0, 0, -112, 0, 0, -112, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, -112, 0, 0, 92, 0, 0, -56, 0, 0, 0, 0, 0, 56, 0, 0, 60, 0, 0, 196, 0, 0, -36, 0, 0, -32, 0, 0, 112, 0, 0, 224, 0, 0, 196, 0, 0, -68, 0, 0, 112, 0, 0, 504, 0, 0, 120, 0, 0, -28, 0, 0, 112, 0, 0, -56, 0, 0, 92, 0, 0, 0, 0, 0, -44, 0, 0, 56, 0, 0, -196, 0, 0, 0, 0, 0, -28, 0, 0, -488, 0, 0, 28, 0, 0, 48, 0, 0, -144, 0, 0, -28, 0, 0, -532, 0, 0, -168, 0, 0, 144, 0, 0, -896, 0, 0, 64, 0, 0, -264, 0, 0, -196, 0, 0, -84, 0, 0, -140, 0, 0, -80, 0, 0, -56, 0, 0, -8, 0, 0, -40, 0, 0, 168, 0, 0, 56, 0, 0, 0, 0, 0, 180, 0, 0, -140, 0, 0, 68, 0, 0, 144, 0, 0, 112, 0, 0, 56, 0, 0, -84, 0, 0, 212, 0, 0, 644, 0, 0, -180, 0, 0, -176, 0, 0, 784, 0, 0, -84, 0, 0, 784, 0, 0, 204, 0, 0, -140, 0, 0, -40, 0, 0, 420, 0, 0, 56, 0, 0, 1036, 0, 0, 0, 0, 0, 568, 0, 0, 0, 0, 0, -396, 0, 0, 340, 0, 0, -616, 0, 0, 0, 0, 0, -84, 0, 0, -228, 0, 0, -168, 0, 0, 12, 0, 0, -616, 0, 0, 84, 0, 0, -196, 0, 0, 252, 0, 0, -40, 0, 0, -308, 0, 0, 108, 0, 0, -328, 0, 0, 28, 0, 0, 28, 0, 0, -756, 0, 0, 88, 0, 0, 224, 0, 0, -140, 0, 0, 220, 0, 0, 140, 0, 0, 420, 0, 0, 0, 0, 0, -16, 0, 0, -168, 0, 0, 44, 0, 0, 212, 0, 0, -84, 0, 0, 84, 0, 0, -252, 0, 0, -60, 0, 0, 84, 0, 0, -248, 0, 0, 48, 0, 0, 140, 0, 0, -336, 0, 0, -196, 0, 0, -140, 0, 0, -84, 0, 0, 944, 0, 0, 40, 0, 0, 280, 0, 0, 112, 0, 0, -924, 0, 0, -40, 0, 0, 0, 0, 0, -396, 0, 0, -176, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 0, -300, 0, 0, 168, 0, 0, -124, 0, 0, 4, 0, 0, 28, 0, 0, -896, 0, 0, 28, 0, 0, -80, 0, 0, -840, 0, 0, 392, 0, 0, -1112, 0, 0, -616, 0, 0, 28, 0, 0, 84, 0, 0, -848, 0, 0, -196, 0, 0, -256, 0, 0, -100, 0, 0, -476, 0, 0, -196, 0, 0, 0, 0, 0, 132, 0, 0, 504, 0, 0, -56, 0, 0, 876, 0, 0, 168, 0, 0, 616, 0, 0, 420, 0, 0, 296, 0, 0, 952, 0, 0, -580, 0, 0, 100, 0, 0, 1008, 0, 0, -28, 0, 0, 1036, 0, 0, 320, 0, 0, 168, 0, 0, 256, 0, 0, 108, 0, 0, 700, 0, 0, 756, 0, 0, 168, 0, 0, 252, 0, 0, 0, 0, 0, -40, 0, 0, 292, 0, 0, -672, 0, 0, 0, 0, 0, 588, 0, 0, -432, 0, 0, 1204, 0, 0, 0, 0, 0, -28, 0, 0, 84, 0, 0, -1344, 0, 0, 0, 0, 0, 96, 0, 0, -532, 0, 0, 536, 0, 0, 64, 0, 0, -252, 0, 0, 168, 0, 0, -1008, 0, 0, -312, 0, 0, -476, 0, 0, 140, 0, 0, 144, 0, 0, 0, 0, 0, -420, 0, 0, 0, 0, 0, 304, 0, 0, 112, 0, 0, -408, 0, 0, 92, 0, 0, 28, 0, 0, 280, 0, 0, 644, 0, 0, 208, 0, 0, 868, 0, 0, 192, 0, 0, 304, 0, 0, 448, 0, 0, 168, 0, 0, 924, 0, 0, 204, 0, 0, -84, 0, 0, -200, 0, 0, -348, 0, 0, -196, 0, 0, 448, 0, 0, -840, 0, 0, 160, 0, 0, 0, 0, 0, -324, 0, 0, 1020, 0, 0, -308, 0, 0, 0, 0, 0, 56, 0, 0, -140, 0, 0, -392, 0, 0, -708, 0, 0, -480, 0, 0, 784, 0, 0, -224, 0, 0, -840, 0, 0, -108, 0, 0, 224, 0, 0, 256, 0, 0, -720, 0, 0, -784, 0, 0, -392, 0, 0, -392, 0, 0, -240, 0, 0, -224, 0, 0, -308, 0, 0, -168, 0, 0, -476, 0, 0, -56, 0, 0, 0, 0, 0, -556, 0, 0, -168, 0, 0, 12, 0, 0, 616, 0, 0, -504, 0, 0, 588, 0, 0, -56, 0, 0, 552, 0, 0, 224, 0, 0, -172, 0, 0, -80, 0, 0, 196, 0, 0, -56, 0, 0, 280, 0, 0, 108, 0, 0, -1008, 0, 0, 248, 0, 0, -92, 0, 0, 336, 0, 0, 56, 0, 0, -1008, 0, 0, 804, 0, 0, 0, 0, 0, -1004, 0, 0, 184, 0, 0, -392, 0, 0, 0, 0, 0, 1064, 0, 0, -108, 0, 0, 812, 0, 0, -356, 0, 0, 48, 0, 0, 252, 0, 0, -280, 0, 0, -84, 0, 0, -728, 0, 0, -364, 0, 0, 96, 0, 0, -432, 0, 0, -1316, 0, 0, 728, 0, 0, 308, 0, 0, -512, 0, 0, 0, 0, 0, -424, 0, 0, 76, 0, 0, -168, 0, 0, -812, 0, 0, 0, 0, 0, 504, 0, 0, 308, 0, 0, -28, 0, 0, 28, 0, 0, 252, 0, 0, 644, 0, 0, 1372], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 49, 6, -1, 14, 0], [1, 1, 147, 11, 1, 14, 0]], "char_orbit_index": 23, "prim_orbit_index": 11, "minimal_twist": "441.2.w.a", "char_is_minimal": true, "conrey_index": 62, "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}