# Stored data for newform 20181.2.a.bg, downloaded from the LMFDB on 12 October 2026.
{"Nk2": 80724, "analytic_conductor": 161.14609631914595, "atkin_lehner_eigenvals": [[3, 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": [20181, 1, [6728, 14416, 12496], [33, 33, 33]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 2, "field_disc_factorization": [[2, 1]], "field_poly": [-2, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 8, "fricke_eigenval": -1, "has_non_self_twist": -1, "hecke_orbit": 33, "hecke_orbit_code": 144115188109430485, "inner_twist_count": -1, "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "label": "20181.2.a.bg", "level": 20181, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [3, 7, 31], "level_radical": 651, "nf_label": "2.2.8.1", "prim_orbit_index": 1, "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "20181.2.a", "trace_display": [2, -2, 0, -2], "traces": [2, 2, -2, 2, 0, -2, -2, 6, 2, 0, 0, -2, 4, -2, 0, 6, 4, 2, 0, 0, 2, 4, -8, -6, -10, 12, -2, -2, -4, 0, 0, -6, 0, -4, 0, 2, 16, 8, -4, 0, -16, 2, -4, 8, 0, -4, 12, -6, 2, -10, -4, 20, 4, -2, 0, -6, 0, 0, 4, 0, -12, 0, -2, -14, 0, -4, 12, -12, 8, 0, -16, 6, 28, 12, 10, 16, 0, -12, -20, 0, 2, -8, 24, 2, 0, 24, 4, 4, 4, 0, -4, 0, 0, 12, 0, 6, 4, 2, 0, -10], "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, "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, "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}