# Stored data for newform 19663.2.a.n, downloaded from the LMFDB on 04 June 2026. {"Nk2": 78652, "analytic_conductor": 157.00984549444362, "atkin_lehner_eigenvals": [[7, -1], [53, -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": [19663, 1, [2810, 8429], [14, 14]], "cm_discs": [], "conrey_index": 1, "dim": 39, "fricke_eigenval": 1, "has_non_self_twist": -1, "hecke_orbit": 14, "hecke_orbit_code": 58546795189390543, "inner_twist_count": -1, "is_cm": false, "is_largest": false, "is_maximal": false, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "label": "19663.2.a.n", "level": 19663, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [7, 53], "level_radical": 371, "prim_orbit_index": 1, "related_objects": [], "relative_dim": 39, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "19663.2.a", "trace_display": [-9, -3, -12, 39], "traces": [39, -9, -3, 39, -12, 0, 39, -27, 42, 30, 3, -6, 0, -9, 9, 39, 3, -60, -21, -72, -3, 6, -30, 0, 39, -48, -72, 39, -12, -18, -12, -63, -12, 0, -12, 105, 6, 42, -30, 75, -42, 0, 0, 9, -33, 36, 6, 75, 39, -39, -15, 18, 0, 42, -60, -27, -66, -30, 21, -126, -3, -75, 42, 39, -81, 45, -36, -15, -78, 30, -72, -147, -57, -171, 42, -36, 3, -45, -45, -144, -45, -9, -30, -6, -6, 9, 39, 3, 9, 159, 0, 12, 60, 60, 60, -18, 6, -9, 51, 111], "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, "field_poly": null, "field_poly_is_cyclotomic": null, "field_poly_is_real_cyclotomic": null, "field_poly_root_of_unity": 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_polredabs": 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}