# Stored data for newform 342.10.a.l, downloaded from the LMFDB on 28 March 2024. {"label": "342.10.a.l", "space_label": "342.10.a", "level": 342, "weight": 10, "hecke_orbit": 12, "hecke_orbit_code": 49539596068847958, "dim": 4, "is_polredabs": true, "trace_hash": 1244427200412287600, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [15389064288000, 6547343400, -7813530, -1395, 1]]], "qexp_display": "q+2^{4}q^{2}+2^{8}q^{4}+(350+3\\beta _{1}+\\beta _{2}+\\cdots)q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 34200, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 176.14225596804462, "hecke_ring_index": 18, "level_radical": 114, "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": 0, "analytic_rank_proved": true, "char_values": [342, 1, [191, 325], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3, 19], "conrey_indexes": [1], "field_disc": 18625109598582065, "field_disc_factorization": [[5, 1], [43, 1], [9096011, 1], [9523781, 1]], "field_poly": [-48270488, -2723303, -34433, -1, 1], "hecke_ring_index_factorization": [[2, 1], [3, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.056", "prec": 17}, {"__RealLiteral__": 0, "data": "3.720", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "38.595", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "609.230", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "9.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [19, -1]], "trace_display": [64, 0, 1395, 12307], 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