# Stored data for newform 315.8.a.i, downloaded from the LMFDB on 26 April 2025.
{"Nk2": 20160, "analytic_conductor": 98.40128302749835, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [5, 1], [7, 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": [315, 1, [281, 127, 136], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 1086660298600, "field_disc_factorization": [[2, 3], [5, 2], [271, 1], [20049083, 1]], "field_poly": [23440, 520, -466, -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": 0, "hecke_cutters": [[2, [23440, 520, -466, -1, 1]]], "hecke_orbit": 9, "hecke_orbit_code": 36028797153182011, "hecke_ring_generator_nbound": 11, "hecke_ring_index": 36, "hecke_ring_index_factorization": [[2, 2], [3, 2]], "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": "315.8.a.i", "level": 315, "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, 5, 7], "level_radical": 105, "minimal_twist": "105.8.a.f", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}+(105+\\beta _{2})q^{4}-5^{3}q^{5}-7^{3}q^{7}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "7.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "315.8.a", "trace_display": [1, 0, -500, -1372], "trace_hash": 497695221885700618, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.794", "prec": 17}, 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