# Stored data for newform 6498.2.a.bn, downloaded from the LMFDB on 28 March 2024. {"label": "6498.2.a.bn", "space_label": "6498.2.a", "level": 6498, "weight": 2, "hecke_orbit": 40, "hecke_orbit_code": 175640385501010274, "dim": 3, "is_polredabs": true, "nf_label": "3.3.81.1", "trace_hash": 992848607579697473, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [-9, -9, 0, 1]], [7, [-1, 0, 3, 1]], [11, [1, -3, 0, 1]], [13, [-3, 9, -6, 1]], [29, [-213, -45, 6, 1]]], "qexp_display": "q-q^{2}+q^{4}+(-2\\beta _{1}+\\beta _{2})q^{5}+(-1+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 25992, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 51.88679123342799, "hecke_ring_index": 1, "level_radical": 114, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 18, "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": "0.013", "prec": 17}, "analytic_rank_proved": true, "char_values": [6498, 1, [3611, 6139], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3, 19], "conrey_indexes": [1], "field_disc": 81, "field_disc_factorization": [[3, 4]], "field_poly": [-1, -3, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.815", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "21.795", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "257.994", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [19, 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