# Stored data for newform 1815.4.a.s, downloaded from the LMFDB on 19 April 2024.
{"label": "1815.4.a.s", "space_label": "1815.4.a", "level": 1815, "weight": 4, "hecke_orbit": 19, "hecke_orbit_code": 81064793359779607, "dim": 3, "is_polredabs": true, "nf_label": "3.3.23612.1", "trace_hash": 975466476048593214, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [44, -15, -4, 1]], [7, [3744, -428, -4, 1]]], "qexp_display": "q+(1+\\beta _{1})q^{2}-3q^{3}+(7+\\beta _{1}+\\beta _{2})q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 29040, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 107.08846666041921, "hecke_ring_index": 1, "level_radical": 165, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [1815, 1, [1211, 727, 1696], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 11], "conrey_indexes": [1], "field_disc": 23612, "field_disc_factorization": [[2, 2], [5903, 1]], "field_poly": [26, -20, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.898", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "22.727", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "258.473", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, 1], [11, -1]], "trace_display": [4, -9, -15, 4], "traces": [0, 3, 4, -9, 22, -15, -12, 4, 48, 27, -20, 0, -66, 0, -56, 45, 50, 218, 36, 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