# Stored data for newform 7605.2.a.cn, downloaded from the LMFDB on 23 April 2024.
{"label": "7605.2.a.cn", "space_label": "7605.2.a", "level": 7605, "weight": 2, "hecke_orbit": 66, "hecke_orbit_code": 292733975812644277, "dim": 5, "is_polredabs": true, "nf_label": "5.5.3352656.1", "trace_hash": 410526729995169566, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-6, 6, 10, -6, -2, 1]], [7, [49, 47, -22, -22, 1, 1]], [11, [-24, 48, 64, 0, -8, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+q^{5}-\\beta _{4}q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 30420, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 60.726230737183734, "hecke_ring_index": 1, "level_radical": 195, "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": "0.008", "prec": 17}, "analytic_rank_proved": true, "char_values": [7605, 1, [6761, 1522, 6931], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 13], "conrey_indexes": [1], "field_disc": 3352656, "field_disc_factorization": [[2, 4], [3, 1], [69847, 1]], "field_poly": [-6, 6, 10, -6, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.057", "prec": 17}, {"__RealLiteral__": 0, "data": "4.610", "prec": 17}, {"__RealLiteral__": 0, "data": "0.848", "prec": 17}, {"__RealLiteral__": 0, "data": "56.091", "prec": 20}, {"__RealLiteral__": 0, "data": "21.504", "prec": 20}, {"__RealLiteral__": 0, "data": "1043.241", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, -1], [13, 1]], "trace_display": [2, 0, 5, -1], "traces": [0, 5, 2, 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