# Stored data for newform 5415.2.a.s, downloaded from the LMFDB on 23 April 2024.
{"label": "5415.2.a.s", "space_label": "5415.2.a", "level": 5415, "weight": 2, "hecke_orbit": 19, "hecke_orbit_code": 81064793326228775, "dim": 2, "is_polredabs": true, "nf_label": "2.2.28.1", "trace_hash": 806706404614418720, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-7, 0, 1]], [7, [-6, 2, 1]], [11, [2, -6, 1]], [13, [2, -6, 1]]], "qexp_display": "q+\\beta q^{2}+q^{3}+5q^{4}+q^{5}+\\beta q^{6}+(-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": 21660, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 43.238992694523326, "hecke_ring_index": 1, "level_radical": 285, "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": "0.019", "prec": 17}, "analytic_rank_proved": true, "char_values": [5415, 1, [3611, 2167, 5056], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 19], "conrey_indexes": [1], "field_disc": 28, "field_disc_factorization": [[2, 2], [7, 1]], "field_poly": [-7, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.948", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.569", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "66.102", "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], [5, -1], [19, -1]], "trace_display": [0, 2, 2, -2], "traces": [0, 2, 0, 2, 10, 2, 0, -2, 0, 2, 0, 6, 10, 6, 14, 2, 22, 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