# Stored data for newform 2366.2.a.be, downloaded from the LMFDB on 19 April 2024.
{"label": "2366.2.a.be", "space_label": "2366.2.a", "level": 2366, "weight": 2, "hecke_orbit": 31, "hecke_orbit_code": 135107988854671678, "dim": 6, "is_polredabs": true, "nf_label": "6.6.6052921.1", "trace_hash": 451515896288214235, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [-27, -9, 33, 7, -11, -1, 1]], [5, [56, 112, -14, -57, -11, 4, 1]]], "qexp_display": "q-q^{2}+\\beta _{1}q^{3}+q^{4}+(-1+\\beta _{4})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 9464, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 18.89260511823494, "hecke_ring_index": 1, "level_radical": 182, "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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [2366, 1, [339, 2199], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 7, 13], "conrey_indexes": [1], "field_disc": 6052921, "field_disc_factorization": [[7, 4], [2521, 1]], "field_poly": [-27, -9, 33, 7, -11, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.560", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "88.369", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2220.394", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [7, 1], [13, 1]], "trace_display": [-6, 1, -4, -6], "traces": [0, 6, -6, 1, 6, -4, -1, -6, -6, 5, 4, -6, 1, 0, 6, 5, 6, -9, 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