# Stored data for newform 6042.2.a.u, downloaded from the LMFDB on 25 April 2024.
{"label": "6042.2.a.u", "space_label": "6042.2.a", "level": 6042, "weight": 2, "hecke_orbit": 21, "hecke_orbit_code": 90071992580970394, "dim": 5, "is_polredabs": true, "nf_label": "5.5.14377697.1", "trace_hash": 703128148968892792, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [6, 19, 5, -9, -2, 1]], [7, [20, 91, 17, -19, -2, 1]], [11, [192, 44, -77, -24, 3, 1]]], "qexp_display": "q+q^{2}-q^{3}+q^{4}+\\beta _{1}q^{5}-q^{6}-\\beta _{2}q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24168, "fricke_eigenval": -1, "atkin_lehner_string": "-+--", "analytic_conductor": 48.24561290125761, "hecke_ring_index": 1, "level_radical": 6042, "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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [6042, 1, [2015, 4771, 2281], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 19, 53], "conrey_indexes": [1], "field_disc": 14377697, "field_disc_factorization": [[107, 1], [134371, 1]], "field_poly": [6, 19, 5, -9, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.085", "prec": 17}, {"__RealLiteral__": 0, "data": "4.388", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "58.107", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1268.852", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [19, -1], [53, -1]], "trace_display": [5, -5, 2, 2], "traces": 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