# Stored data for newform 2415.2.a.j, downloaded from the LMFDB on 19 April 2024.
{"label": "2415.2.a.j", "space_label": "2415.2.a", "level": 2415, "weight": 2, "hecke_orbit": 10, "hecke_orbit_code": 40532396679891311, "dim": 2, "is_polredabs": true, "nf_label": "2.2.12.1", "trace_hash": 2063346909243671547, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-3, 0, 1]], [11, [-2, -2, 1]], [13, [6, 6, 1]]], "qexp_display": "q+\\beta q^{2}+q^{3}+q^{4}-q^{5}+\\beta q^{6}-q^{7}+\\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": 12, "field_poly_is_real_cyclotomic": true, "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": "0.016", "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": 12, "field_disc_factorization": [[2, 2], [3, 1]], "field_poly": [-3, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.913", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.761", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "70.097", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1], [7, 1], [23, -1]], "trace_display": [0, 2, -2, -2], "traces": [0, 2, 0, 2, 2, -2, 0, -2, 0, 2, 0, 2, 2, -6, 0, -2, -10, -8, 0, 0, -2, -2, 6, 2, 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