# Stored data for newform 2415.2.a.r, downloaded from the LMFDB on 25 April 2024.
{"label": "2415.2.a.r", "space_label": "2415.2.a", "level": 2415, "weight": 2, "hecke_orbit": 18, "hecke_orbit_code": 76561193698855279, "dim": 7, "is_polredabs": true, "trace_hash": 470420094470457023, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-9, -12, 29, 20, -16, -9, 2, 1]], [11, [-870, -3222, 674, 831, -64, -55, 2, 1]], [13, [1086, 2002, -2006, 111, 220, -31, -6, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+q^{3}+(1+\\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": 1, "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": "0.013", "prec": 17}, "analytic_rank_proved": true, "char_values": [2415, 1, [806, 967, 346, 1891], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [3, 5, 7, 23], "conrey_indexes": [1], "field_disc": 70334379012, "field_disc_factorization": [[2, 2], [3, 1], [73, 1], [80290387, 1]], "field_poly": [9, -12, -29, 20, 16, -9, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.134", "prec": 17}, {"__RealLiteral__": 0, "data": "6.415", "prec": 17}, {"__RealLiteral__": 0, "data": "3.235", "prec": 17}, {"__RealLiteral__": 0, "data": "114.522", "prec": 24}, {"__RealLiteral__": 0, "data": "99.152", "prec": 20}, {"__RealLiteral__": 0, "data": "3328.148", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 7, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1], [7, 1], 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