# Stored data for newform 6171.2.a.p, downloaded from the LMFDB on 25 April 2024.
{"label": "6171.2.a.p", "space_label": "6171.2.a", "level": 6171, "weight": 2, "hecke_orbit": 16, "hecke_orbit_code": 67553994444118043, "dim": 2, "is_polredabs": true, "nf_label": "2.2.17.1", "trace_hash": 145889681991216006, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-4, -1, 1]], [5, [-2, -3, 1]], [7, [0, 1]]], "qexp_display": "q+\\beta q^{2}-q^{3}+(2+\\beta )q^{4}+(1+\\beta )q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24684, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 49.275683087332126, "hecke_ring_index": 1, "level_radical": 561, "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": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [6171, 1, [4115, 970, 2179], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 11, 17], "conrey_indexes": [1], "field_disc": 17, "field_disc_factorization": [[17, 1]], "field_poly": [-4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.950", "prec": 17}, {"__RealLiteral__": 0, "data": "0.088", "prec": 17}, {"__RealLiteral__": 0, "data": "9.372", "prec": 17}, {"__RealLiteral__": 0, "data": "1.576", "prec": 17}, {"__RealLiteral__": 0, "data": "63.460", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [11, -1], [17, 1]], "trace_display": [1, -2, 3, 0], "traces": [0, 2, 1, -2, 5, 3, -1, 0, 9, 2, 10, 0, -5, -5, 0, -3, 3, -2, 1, -3, 16, 0, 0, -9, -9, 3, 6, -2, 0, 0, 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