# Stored data for newform 45570.2.a.hu, downloaded from the LMFDB on 22 October 2025.
{"Nk2": 182280, "analytic_conductor": 363.8782820109747, "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, -1], [7, 1], [31, 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": [45570, 1, [15191, 36457, 43711, 35281], [203, 203, 203, 203]], "cm_discs": [], "conrey_index": 1, "dim": 14, "field_poly": [-47, 58, 3423, -4680, -28799, 1658, 26435, 832, -8661, -498, 1181, 72, -61, -2, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": -1, "hecke_orbit": 203, "hecke_orbit_code": 909727124762440194, "inner_twist_count": -1, "is_cm": false, "is_largest": true, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "label": "45570.2.a.hu", "level": 45570, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 3, 5, 7, 31], "level_radical": 6510, "prim_orbit_index": 1, "related_objects": [], "relative_dim": 14, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "45570.2.a", "trace_display": [-14, 14, 14, 0], "traces": [14, -14, 14, 14, 14, -14, 0, -14, 14, -14, 4, 14, 2, 0, 14, 14, -2, -14, 2, 14, 0, -4, 4, -14, 14, -2, 14, 0, 4, -14, -14, -14, 4, 2, 0, 14, -24, -2, 2, -14, -18, 0, -24, 4, 14, -4, -20, 14, 0, -14, -2, 2, -22, -14, 4, 0, 2, -4, -24, 14, -4, 14, 0, 14, 2, -4, -50, -2, 4, 0, 16, -14, -16, 24, 14, 2, 0, -2, -12, 14, 14, 18, -12, 0, -2, 24, 4, -4, -28, -14, 0, 4, -14, 20, 2, -14, -34, 0, 4, 14], "weight": 2, "weight_parity": 1, "id": null, "analytic_rank": null, "analytic_rank_proved": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "field_disc": null, "field_disc_factorization": null, "hecke_cutters": null, "hecke_ring_generator_nbound": null, "hecke_ring_index": null, "hecke_ring_index_factorization": null, "hecke_ring_index_proved": null, "inner_twists": null, "is_twist_minimal": null, "level_is_powerful": null, "level_is_prime_square": null, "minimal_twist": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp_display": null, "trace_hash": null, "trace_moments": null, "trace_zratio": null}