# Stored data for newform 5915.2.a.n, downloaded from the LMFDB on 08 June 2024.
{"Nk2": 23660, "analytic_conductor": 47.23151279558735, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[5, -1], [7, -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": [5915, 1, [2367, 5071, 1016], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 12197, "field_disc_factorization": [[12197, 1]], "field_poly": [1, 3, -5, -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, [1, 3, -5, -1, 1]], [3, [11, 2, -9, 0, 1]]], "hecke_orbit": 14, "hecke_orbit_code": 58546795189376795, "hecke_ring_generator_nbound": 2, "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": "5915.2.a.n", "level": 5915, "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": [5, 7, 13], "level_radical": 455, "minimal_twist": "455.2.a.c", "nf_label": "4.4.12197.1", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}+(-\\beta _{1}-\\beta _{3})q^{3}+(1+\\beta _{2}+\\cdots)q^{4}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "5915.2.a", "trace_display": [1, 0, 4, 4], "trace_hash": 338513411287816453, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.892", 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