# Stored data for newform 570.2.n.a, downloaded from the LMFDB on 25 April 2024. {"label": "570.2.n.a", "space_label": "570.2.n", "level": 570, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 893386752570, "dim": 80, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 285, "char_orbit_label": "n", "char_is_real": false, "Nk2": 2280, "analytic_conductor": 4.551472915212982, "level_radical": 570, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [570, 6, [191, 457, 211], [3, 3, 1]], "inner_twist_count": 8, "level_primes": [2, 3, 5, 19], "conrey_indexes": [179, 449], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 40, "sato_tate_group": "1.2.3.c6", "trace_display": [0, 0, 0, 0], "traces": [80, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, -40, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 12, 0, 0, 0, -128, 0, 0, 0, 0, -36, 12, 0, 0, 0, 0, 30, -24, 0, 0, -80, 0, 4, 0, 0, 0, 36, 0, 0, 0, 0, 0, 16, 0, 0, 24, 0, 32, 0, 0, 0, -8, 0, 0, 0, 0, -54, 24, 0, 0, 0, 0, 0, 0, 0, -60, -8, 0, 0, 0, 0, -96, 16, 0, 0, -72, 0, 8, 0, 0, 40, 96, 0, 0, 0, 0, -2, -144, 0, 0, 24, 0, 0, 0, 0, -96, -28, 0, 0, 0, 0, 36, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -120, 0, 24, 0, 0, -72, 0, 0, 0, 0, 0, -54, -48, 0, 0, -112, 0, 28, 0, 0, -36, -40, 0, 0, 0, 0, 6, -144, 0, 0, 0, 0, -12, 0, 0, 0, 56, 0, 0, 0, 0, 88, -64, 0, 0, -112, 0, -128, 0, 0, 0, -36, 0, 0, 0, 0, 120, 240, 0, 0, 136, 0, -72, 0, 0, -60, 24, 0, 0, 0, 0, 64, 56, 0, 0, -176, 0, 120, 0, 0, -56, -80, 0, 0, 0, 0, 0, 216, 0, 0, 24, 0, 0, 0, 0, 192, -72, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, -60, 0, 0, -4, 0, 0, 0, 0, 0, -4, -48, 0, 0, 0, 0, 48, 0, 0, 324, 36, 0, 0, 0, 0, -250, 320, 0, 0, 152, 0, 196, 0, 0, 4, 36, 0, 0, 0, 0, 96, 96, 0, 0, 8, 0, -72, 0, 0, -140, -68, 0, 0, 0, 0, 248, 0, 0, 0, 192, 0, -144, 0, 0, 64, 144, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, -44, 8, 0, 0, 0, 0, 12, -24, 0, 0, 16, 0, -96, 0, 0, 0, 288, 0, 0, 0, 0, 0, -272, 0, 0, 24, 0, 148, 0, 0, 0, -28, 0, 0, 0, 0, -138, -48, 0, 0, 0, 0, -232, 0, 0, 0, -152, 0, 0, 0, 0, -132, 240, 0, 0, 240, 0, 60, 0, 0, 236, -16, 0, 0, 0, 0, -58, 160, 0, 0, 240, 0, 0, 0, 0, -252, -52, 0, 0, 0, 0, -96, -168, 0, 0, 8, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, -24, 0, 0, 0, -576, 0, 112, 0, 0, 16, 0, 0, 0, 0, 0, -180, -144, 0, 0, 32, 0, 44, 0, 0, -96, 48, 0, 0, 0, 0, 60, -240, 0, 0, -216, 0, 108, 0, 0, 0, 208, 0, 0, 0, 0, 2, -360, 0, 0, -72, 0, 0, 0, 0, 216, -276, 0, 0, 0, 0, -44, 24, 0, 0, 312, 0, 120, 0, 0, 36, -400, 0, 0, 0, 0, -32, 120, 0, 0, -208, 0, -96, 0, 0, -268, -56, 0, 0, 0, 0, 0, -264, 0, 0, 168, 0, 0, 0, 0, 276, -72, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 312, 0, 0, 132, 0, 0, 0, 0, 0, 116, -200, 0, 0, 0, 0, 312, 0, 0, 36, 132, 0, 0, 0, 0, -94, 224, 0, 0, 144, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 324, -136, 0, 0, -384, 0, -672, 0, 0, -212, -24, 0, 0, 0, 0, 64, 0, 0, 0, 120, 0, 4, 0, 0, 256, 156, 0, 0, 0, 0, -132, 0, 0, 0, 496, 0, -132, 0, 0, -24, -56, 0, 0, 0, 0, 264, -304, 0, 0, -32, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 288, 0, 56, 0, 0, 0, -52, 0, 0, 0, 0, -54, 48, 0, 0, 0, 0, -552, 0, 0, -448, -8, 0, 0, 0, 0, -348, -224, 0, 0, -480, 0, -72, 0, 0, 56, -56, 0, 0, 0, 0, 60, 144, 0, 0, -72, 0, 0, 0, 0, -300, 40, 0, 0, 0, 0, -288, 480, 0, 0, 272, 0, 0, 0, 0, -352, 0, 0, 0, 0, 0, -6, 0, 0, 0, -144, 0, 248, 0, 0, 288, 0, 0, 0, 0, 0, -330, 0, 0, 0, -272, 0, 128, 0, 0, -12, -320, 0, 0, 0, 0, 22, -288, 0, 0, -192, 0, -156, 0, 0, 0, 28, 0, 0, 0, 0, 216, 0, 0, 0, 280, 0, -24, 0, 0, 24, -408, 0, 0, 0, 0, 176, 696, 0, 0, 64, 0, -232, 0, 0, 384, -392, 0, 0, 0, 0, 140, 112, 0, 0, -208, 0, 144, 0, 0, -64, 416, 0, 0, 0, 0, 0, 120, 0, 0, 232, 0, 0, 0, 0, 1080, -36, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, -276, 0, 0, 216, 0, 0, 0, 0, 0, 60, -168, 0, 0, 0, 0, 204, 0, 0, 456, 480, 0, 0, 0, 0, -334, 272, 0, 0, 312, 0, 432, 0, 0, -36, 744, 0, 0, 0, 0, 288, -96, 0, 0, 0, 0, -60, 0, 0, -472, 12, 0, 0, 0, 0, 652, 0, 0, 0, 1248, 0, -220, 0, 0, 376, 324, 0, 0, 0, 0, 128, 0, 0, 0, 112, 0, 180, 0, 0, -188, 76, 0, 0, 0, 0, -168, -88, 0, 0, 160, 0, 32, 0, 0, 0, 96, 0, 0, 0, 0, 0, 112, 0, 0, 120, 0, 56, 0, 0, 0, -40, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, -24, 0, 0, -280, -360, 0, 0, 0, 0, -30, 288, 0, 0, 216, 0, 356, 0, 0, 72, -424, 0, 0, 0, 0, 52, 48, 0, 0, -576, 0, 0, 0, 0, -96, -328, 0, 0, 0, 0, -294, -672, 0, 0, -8, 0, 0, 0, 0, -232, 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": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 15, 4, -1, 2, 0], [1, 1, 19, 4, -1, 6, 0], [1, 1, 57, 6, 1, 6, 0], [1, 1, 95, 8, -1, 6, 0], [1, 1, 285, 17, 1, 6, 0]], "char_orbit_index": 14, "prim_orbit_index": 17, "minimal_twist": "570.2.n.a", "char_is_minimal": true, "conrey_index": 179, "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}