# Stored data for newform 2415.2.a.o, downloaded from the LMFDB on 26 April 2024.
{"label": "2415.2.a.o", "space_label": "2415.2.a", "level": 2415, "weight": 2, "hecke_orbit": 15, "hecke_orbit_code": 63050394816743791, "dim": 5, "is_polredabs": true, "nf_label": "5.5.2508628.1", "trace_hash": 939926150092572618, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-8, 23, 2, -10, 0, 1]], [11, [-16, -18, 56, -24, -1, 1]], [13, [16, 44, 6, -18, 0, 1]]], "qexp_display": "q-\\beta _{1}q^{2}-q^{3}+(2+\\beta _{2})q^{4}-q^{5}+\\beta _{1}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 9660, "fricke_eigenval": 1, "atkin_lehner_string": "++++", "analytic_conductor": 19.283872088139212, "hecke_ring_index": 2, "level_radical": 2415, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.007", "prec": 17}, "analytic_rank_proved": true, "char_values": [2415, 1, [806, 967, 346, 1891], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 7, 23], "conrey_indexes": [1], "field_disc": 2508628, "field_disc_factorization": [[2, 2], [337, 1], [1861, 1]], "field_poly": [8, 23, -2, -10, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.403", "prec": 17}, {"__RealLiteral__": 0, "data": "0.913", "prec": 17}, {"__RealLiteral__": 0, "data": "55.875", "prec": 20}, {"__RealLiteral__": 0, "data": "35.565", "prec": 20}, {"__RealLiteral__": 0, "data": "1079.760", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, 1], [7, 1], [23, 1]], "trace_display": [0, -5, -5, 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