# Stored data for newform 7942.2.a.bt, downloaded from the LMFDB on 22 October 2026.
{"Nk2": 31768, "analytic_conductor": 63.41718928530088, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [11, 1], [19, 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": [7942, 1, [5777, 6139], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 12, "field_disc": 1229783464177231653, "field_disc_factorization": [[3, 22], [39188717, 1]], "field_poly": [-3, -90, -351, -240, 486, 396, -285, -198, 90, 41, -15, -3, 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": 0, "hecke_cutters": [[3, [-3, -90, -351, -240, 486, 396, -285, -198, 90, 41, -15, -3, 1]], [5, [-81, -324, 891, 900, -1998, -756, 1287, 459, -261, -117, 9, 9, 1]], [13, [11503, 71439, 156069, 140461, 27864, -31302, -14682, 1944, 1683, -26, -75, 0, 1]]], "hecke_orbit": 46, "hecke_orbit_code": 202661983265234694, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "7942.2.a.bt", "level": 7942, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 11, 19], "level_radical": 418, "minimal_twist": "418.2.j.a", "prim_orbit_index": 1, "qexp_display": "q-q^{2}+\\beta _{1}q^{3}+q^{4}+(-1-\\beta _{2})q^{5}+\\cdots", "related_objects": [], "relative_dim": 12, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": 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