# Stored data for newform 242.10.a.e, downloaded from the LMFDB on 20 April 2024.
{"label": "242.10.a.e", "space_label": "242.10.a", "level": 242, "weight": 10, "hecke_orbit": 5, "hecke_orbit_code": 18014398677254386, "dim": 2, "is_polredabs": true, "nf_label": "2.2.889.1", "trace_hash": 71585833407216482, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-17892, 21, 1]], [7, [-10178000, -7490, 1]]], "qexp_display": "q+2^{4}q^{2}+(-6-9\\beta )q^{3}+2^{8}q^{4}+(-212+\\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": 24200, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 124.63867235165729, "hecke_ring_index": 1, "level_radical": 22, "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": [242, 1, [123], [1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 11], "conrey_indexes": [1], "field_disc": 889, "field_disc_factorization": [[7, 1], [127, 1]], "field_poly": [-222, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.924", "prec": 17}, {"__RealLiteral__": 0, "data": "0.118", "prec": 17}, {"__RealLiteral__": 0, "data": "9.434", "prec": 17}, {"__RealLiteral__": 0, "data": "1.951", "prec": 17}, {"__RealLiteral__": 0, "data": "67.273", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "9.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [11, -1]], "trace_display": [32, -21, -521, 7490], "traces": [0, 2, 32, -21, 512, -521, -336, 7490, 8192, -3141, -8336, 0, -5376, -150314, 119840, 393519, 131072, -690472, -50256, -511212, -133376, -1398810, 0, 874751, 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