# Stored data for newform 570.2.s.a, downloaded from the LMFDB on 16 April 2024.
{"label": "570.2.s.a", "space_label": "570.2.s", "level": 570, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 1236984136250, "dim": 24, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[17, [18547561529344, -22772388003840, 666028847104, 10625021890560, -1980599982848, -3675717601536, 1498672894144, 455713513536, -310082084976, -33778949856, 44973685024, -1830735936, -3668258768, 407358960, 217155696, -40050480, -7089220, 1931112, 147584, -66120, 812, 1056, -40, -12, 1]]], "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 57, "char_orbit_label": "s", "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, 6, 5]], "inner_twist_count": 2, "level_primes": [2, 3, 5, 19], "conrey_indexes": [221, 521], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 12, "sato_tate_group": "1.2.3.c6", "trace_display": [-12, 4, 0, -12], "traces": [24, -12, 4, -12, 0, -2, -12, 24, -4, 0, 0, -2, 18, 6, 0, -12, 12, 2, 6, 0, -6, 18, 0, 4, 12, 0, 28, 6, 0, 0, 0, -12, -22, -12, 0, 2, 0, 6, 40, 0, 6, -6, -22, -18, 8, 0, 12, -2, 12, -24, -20, -18, 8, 4, 0, -12, 0, 0, 26, 0, 22, -18, 6, 24, 8, 8, -48, 0, -64, 0, 24, -4, -8, 30, 2, -12, 0, -38, 18, 0, -12, 6, 0, 12, 0, -22, -24, 0, 28, 8, 18, 0, 2, 0, 0, -2, 6, -6, 2, 12, 36, 16, 0, 18, 44, -16, 0, -32, -12, 0, -58, 6, -44, 24, 16, 0, -30, 26, -84, 0, -52, -44, -40, 18, 0, -36, 12, -12, -50, -4, 6, 14, 76, 0, -12, 12, 30, 68, 24, 0, 40, 24, -8, 2, 0, -8, -18, -30, -84, -4, 0, 6, 8, -12, -8, -2, -6, -18, -32, 0, -48, -6, -32, -12, -20, -102, 0, -6, 2, 0, 2, 44, 60, 36, -6, 18, 112, -56, -92, -16, -72, 0, 56, 0, 4, 14, -20, -12, 36, -12, 0, 4, 6, -6, 20, -6, 0, 50, -14, 12, 42, 0, 36, 4, -12, 78, -124, 0, 54, -40, -6, 8, -12, 0, 0, 28, 0, 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24, 28, 68, 76, 30, 84, -12, 364, 16, 116, 12, 0, 20, 30, -46, 114, 0, -90, -12, -110, 0, -244, -78, -132, -30, 36, 0, -114, 8, -124, -52, 0, 26, -24, 132, -108, 98, 0, -6, -16, -84, -6, -96, -8, 132, 184, 0, 156, 0, -4, -28, -152, 12, 88, -164, 26, -52, -68, 96, 6, -42, -142, -36, 2, -44, 4, 98, 132, 0, -168, -108, -72, -40, -24, -228, -8, 66, 0, -52, -54, 18, 136, -8, 0, -2, -26, -12, -40, 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, 57, 6, 1, 6, 0]], "char_orbit_index": 19, "prim_orbit_index": 6, "minimal_twist": "570.2.s.a", "char_is_minimal": true, "conrey_index": 221, "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}