# Stored data for newform 117.10.a.e, downloaded from the LMFDB on 09 December 2024.
{"Nk2": 11700, "analytic_conductor": 60.25919283117316, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [13, -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": [117, 1, [92, 28], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 5, "field_disc": 10515371753027290161, "field_disc_factorization": [[3, 1], [47, 1], [719, 1], [1910087, 1], [54302957, 1]], "field_poly": [-59580, 396957, -4164, -1438, 0, 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": [[2, [1249344, 383520, -8508, -1348, 15, 1]]], "hecke_orbit": 5, "hecke_orbit_code": 18014398677254261, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 12, "hecke_ring_index_factorization": [[2, 2], [3, 1]], "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": "117.10.a.e", "level": 117, "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": [3, 13], "level_radical": 39, "minimal_twist": "13.10.a.b", "prim_orbit_index": 1, "qexp_display": "q+(-3-\\beta _{1})q^{2}+(72+10\\beta _{1}+\\beta _{4})q^{4}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "9.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "117.10.a", "trace_display": [-15, 0, -1803, 10099], "trace_hash": 2035167767151341318, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, 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