# Stored data for newform 3330.2.a.r, downloaded from the LMFDB on 13 May 2024.
{"label": "3330.2.a.r", "space_label": "3330.2.a", "level": 3330, "weight": 2, "hecke_orbit": 18, "hecke_orbit_code": 76561193698856194, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 649515539986548053, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [-4, 1]], [11, [0, 1]], [13, [-6, 1]], [17, [-6, 1]]], "qexp_display": "q+q^{2}+q^{4}-q^{5}+4q^{7}+q^{8}-q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 13320, "fricke_eigenval": -1, "atkin_lehner_string": "-+++", "analytic_conductor": 26.590183873086367, "hecke_ring_index": 1, "level_radical": 1110, "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": "0.021", "prec": 17}, "analytic_rank_proved": true, "char_values": [3330, 1, [371, 667, 631], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 37], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.040", "prec": 17}, {"__RealLiteral__": 0, "data": "0.965", "prec": 17}, {"__RealLiteral__": 0, "data": "0.063", "prec": 17}, {"__RealLiteral__": 0, "data": "1.868", "prec": 17}, {"__RealLiteral__": 0, "data": "0.137", "prec": 17}, {"__RealLiteral__": 0, "data": "4.523", "prec": 17}], "related_objects": ["EllipticCurve/Q/3330/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], [37, 1]], "trace_display": [1, 0, -1, 4], "traces": [0, 1, 1, 0, 1, -1, 0, 4, 1, 0, -1, 0, 0, 6, 4, 0, 1, 6, 0, 6, -1, 0, 0, -8, 0, 1, 6, 0, 4, -6, 0, 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