# Stored data for newform 2842.2.a.l, downloaded from the LMFDB on 23 April 2024.
{"label": "2842.2.a.l", "space_label": "2842.2.a", "level": 2842, "weight": 2, "hecke_orbit": 12, "hecke_orbit_code": 49539595934632730, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 929547289026180724, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-2, 0, 1]], [5, [-8, 0, 1]]], "qexp_display": "q+q^{2}+\\beta q^{3}+q^{4}+2\\beta q^{5}+\\beta q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 11368, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 22.693484254447885, "hecke_ring_index": 1, "level_radical": 406, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 8, "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": "0.510", "prec": 17}, "analytic_rank_proved": true, "char_values": [2842, 1, [1277, 785], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 2, "level_primes": [2, 7, 29], "conrey_indexes": [1], "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.035", "prec": 17}, {"__RealLiteral__": 0, "data": "1.860", "prec": 17}, {"__RealLiteral__": 0, "data": "0.438", "prec": 17}, {"__RealLiteral__": 0, "data": "14.089", "prec": 20}, {"__RealLiteral__": 0, "data": "5.550", "prec": 17}, {"__RealLiteral__": 0, "data": "135.762", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [7, 1], [29, 1]], "trace_display": [2, 0, 0, 0], "traces": [0, 2, 2, 0, 2, 0, 0, 0, 2, -2, 0, -4, 0, 0, 0, 8, 2, 0, -2, 0, 0, 0, -4, 8, 0, 6, 0, 0, 0, -2, 8, 0, 2, 0, 0, 0, -2, 4, 0, 16, 0, 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