# Stored data for newform 3630.2.a.r, downloaded from the LMFDB on 23 April 2024.
{"label": "3630.2.a.r", "space_label": "3630.2.a", "level": 3630, "weight": 2, "hecke_orbit": 18, "hecke_orbit_code": 76561193698856494, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2180722092093741163, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [-3, 1]], [13, [-3, 1]]], "qexp_display": "q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+3q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 14520, "fricke_eigenval": -1, "atkin_lehner_string": "-+--", "analytic_conductor": 28.98569593372478, "hecke_ring_index": 1, "level_radical": 330, "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": [3630, 1, [1211, 727, 3511], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 11], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.027", "prec": 17}, {"__RealLiteral__": 0, "data": "1.013", "prec": 17}, {"__RealLiteral__": 0, "data": "0.099", "prec": 17}, {"__RealLiteral__": 0, "data": "1.984", "prec": 17}, {"__RealLiteral__": 0, "data": "0.265", "prec": 17}, {"__RealLiteral__": 0, "data": "4.872", "prec": 17}], "related_objects": ["EllipticCurve/Q/3630/r"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [5, -1], [11, -1]], "trace_display": [1, -1, 1, 3], "traces": [0, 1, 1, -1, 1, 1, -1, 3, 1, 1, 1, 0, -1, 3, 3, -1, 1, -1, 1, -1, 1, -3, 0, 6, -1, 1, 3, -1, 3, 5, -1, 0, 1, 0, -1, 3, 1, 3, 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