# Stored data for newform 7623.2.a.cf, downloaded from the LMFDB on 25 April 2024.
{"label": "7623.2.a.cf", "space_label": "7623.2.a", "level": 7623, "weight": 2, "hecke_orbit": 58, "hecke_orbit_code": 256705178793680327, "dim": 4, "is_polredabs": true, "nf_label": "4.4.7488.1", "trace_hash": 356572284058899791, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-2, -8, -4, 2, 1]], [5, [-11, -6, 8, 6, 1]], [13, [358, -32, -40, 2, 1]]], "qexp_display": "q+\\beta _{3}q^{2}+(1-\\beta _{2})q^{4}+(-1+\\beta _{3})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 30492, "fricke_eigenval": 1, "atkin_lehner_string": "--+", "analytic_conductor": 60.86996146082204, "hecke_ring_index": 1, "level_radical": 231, "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": "0.009", "prec": 17}, "analytic_rank_proved": true, "char_values": [7623, 1, [848, 4357, 4600], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 7, 11], "conrey_indexes": [1], "field_disc": 7488, "field_disc_factorization": [[2, 6], [3, 2], [13, 1]], "field_poly": [1, 2, -4, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.001", "prec": 17}, {"__RealLiteral__": 0, "data": "3.827", "prec": 17}, {"__RealLiteral__": 0, "data": "0.242", "prec": 17}, {"__RealLiteral__": 0, "data": "39.788", "prec": 20}, {"__RealLiteral__": 0, "data": "4.364", "prec": 17}, {"__RealLiteral__": 0, "data": "637.614", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [7, -1], [11, 1]], "trace_display": [-2, 0, -6, 4], "traces": [0, 4, -2, 0, 4, -6, 0, 4, 0, 0, 14, 0, 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