# Stored data for newform 5054.2.a.s, downloaded from the LMFDB on 12 May 2024.
{"label": "5054.2.a.s", "space_label": "5054.2.a", "level": 5054, "weight": 2, "hecke_orbit": 19, "hecke_orbit_code": 81064793326228414, "dim": 3, "is_polredabs": true, "nf_label": "3.3.81.1", "trace_hash": 836791674793267648, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [3, 0, -3, 1]], [5, [-1, 0, 3, 1]], [13, [1, -3, 0, 1]]], "qexp_display": "q-q^{2}+(1-\\beta _{1})q^{3}+q^{4}+(-1+\\beta _{2})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 20216, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 40.356393181555106, "hecke_ring_index": 1, "level_radical": 266, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 18, "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": "0.017", "prec": 17}, "analytic_rank_proved": true, "char_values": [5054, 1, [1445, 1807], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 7, 19], "conrey_indexes": [1], "field_disc": 81, "field_disc_factorization": [[3, 4]], "field_poly": [-1, -3, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.937", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "22.779", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "264.111", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [7, -1], [19, -1]], "trace_display": [-3, 3, -3, 3], "traces": [0, 3, -3, 3, 3, -3, -3, 3, -3, 0, 3, -3, 3, 0, -3, -6, 3, 0, 0, 0, -3, 3, 3, -6, -3, -6, 0, 0, 3, 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