# Stored data for newform 12138.2.a.br, downloaded from the LMFDB on 23 September 2025.
{"Nk2": 48552, "analytic_conductor": 96.92241797343013, "atkin_lehner_eigenvals": [[2, -1], [3, 1], [7, -1], [17, 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": [12138, 1, [8093, 10405, 9829], [44, 44, 44]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 2, "field_disc_factorization": [[2, 1]], "field_poly": [-4, -1, 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": 44, "hecke_orbit_code": 193654784010497898, "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": "12138.2.a.br", "level": 12138, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 3, 7, 17], "level_radical": 714, "nf_label": "2.2.17.1", "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": "12138.2.a", "trace_display": [2, -2, -1, 2], "traces": [2, 2, -2, 2, -1, -2, 2, 2, 2, -1, 1, -2, -5, 2, 1, 2, 0, 2, -8, -1, -2, 1, 0, -2, -1, -5, -2, 2, 6, 1, 2, 2, -1, 0, -1, 2, 3, -8, 5, -1, 4, -2, 3, 1, -1, 0, -2, -2, 2, -1, 0, -5, -21, -2, -9, 2, 8, 6, -4, 1, -8, 2, 2, 2, 11, -1, -3, 0, 0, -1, -18, 2, -7, 3, 1, -8, 1, 5, 23, -1, 2, 4, 3, -2, 0, 3, -6, 1, -11, -1, -5, 0, -2, -2, 4, -2, 1, 2, 1, -1], "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}