# Stored data for newform 5586.2.a.u, downloaded from the LMFDB on 07 September 2025.
{"Nk2": 22344, "analytic_conductor": 44.604434569087225, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, 1], [7, -1], [19, 1]], "atkin_lehner_string": "-+-+", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [5586, 1, [3725, 4903, 4999], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[5, [0, 1]], [11, [0, 1]], [13, [-4, 1]], [17, [6, 1]]], "hecke_orbit": 21, "hecke_orbit_code": 90071992580969938, "hecke_ring_generator_nbound": 1, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "5586.2.a.u", "level": 5586, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 3, 7, 19], "level_radical": 798, "minimal_twist": "114.2.a.c", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\\cdots", "related_objects": ["EllipticCurve/Q/5586/u"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "5586.2.a", "trace_display": [1, -1, 0, 0], "trace_hash": 1899675593210614758, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.957", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.902", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.753", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.017", "prec": 17}, "traces": [0, 1, 1, -1, 1, 0, -1, 0, 1, 1, 0, 0, -1, 4, 0, 0, 1, -6, 1, -1, 0, 0, 0, -6, -1, -5, 4, -1, 0, 6, 0, -2, 1, 0, -6, 0, 1, -4, -1, -4, 0, -6, 0, -4, 0, 0, -6, -6, -1, 0, -5, 6, 4, 6, -1, 0, 0, 1, 6, 12, 0, -14, -2, 0, 1, 0, 0, 8, -6, 6, 0, 0, 1, -14, -4, 5, -1, 0, -4, -10, 0, 1, -6, 12, 0, 0, -4, -6, 0, 6, 0, 0, -6, 2, -6, 0, -1, 10, 0, 0, -5, 0, 6, 10, 4, 0, 6, 12, -1, -16, 0, 4, 0, -18, 1, 0, 6, 4, 12, 0, 0, -11, -14, 6, -2, 0, 0, 2, 1, 4, 0, -12, 0, 0, 8, 0, -6, -18, 6, -20, 0, 6, 0, 0, 1, 0, -14, 0, -4, 12, 5, -10, -1, -6, 0, 0, -4, -2, -10, -6, 0, 0, 1, -4, -6, 0, 12, 12, 0, 3, 0, -1, -4, -18, -6, 0, 0, -12, 6, 12, 0, 16, 0, 14, -6, 0, 2, 0, -6, 0, 0, 18, -1, -10, 10, 0, 0, 12, 0, -20, -5, -8, 0, 0, 6, 0, 10, -6, 4, 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