# Stored data for newform 5290.2.a.be, downloaded from the LMFDB on 19 April 2024. {"label": "5290.2.a.be", "space_label": "5290.2.a", "level": 5290, "weight": 2, "hecke_orbit": 31, "hecke_orbit_code": 135107988854674602, "dim": 6, "is_polredabs": true, "nf_label": "6.6.252973568.1", "trace_hash": 30268430148097884, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [4, 20, 19, -18, -11, 2, 1]], [7, [-8, 8, 127, -26, -23, 2, 1]], [11, [5022, 2376, -439, -314, -9, 10, 1]]], "qexp_display": "q-q^{2}-\\beta _{1}q^{3}+q^{4}-q^{5}+\\beta _{1}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 21160, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 42.240862669257325, "hecke_ring_index": 1, "level_radical": 230, "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": "0.011", "prec": 17}, "analytic_rank_proved": true, "char_values": [5290, 1, [2117, 2121], [1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 5, 23], "conrey_indexes": [1], "field_disc": 252973568, "field_disc_factorization": [[2, 9], [71, 1], [6959, 1]], "field_poly": [4, -20, 19, 18, -11, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.763", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "88.518", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2029.158", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c1", 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