# Stored data for newform 2535.2.a.bd, downloaded from the LMFDB on 24 April 2024. {"label": "2535.2.a.bd", "space_label": "2535.2.a", "level": 2535, "weight": 2, "hecke_orbit": 30, "hecke_orbit_code": 130604389227301351, "dim": 3, "is_polredabs": true, "nf_label": "3.3.49.1", "trace_hash": 1003160584807337482, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [1, -2, -1, 1]], [7, [-1, -1, 2, 1]], [11, [-1, 1]]], "qexp_display": "q+\\beta _{1}q^{2}-q^{3}+\\beta _{2}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": 10140, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 20.242076912394577, "hecke_ring_index": 1, "level_radical": 195, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 14, "field_poly_is_real_cyclotomic": true, "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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [2535, 1, [1691, 1522, 1861], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 13], "conrey_indexes": [1], "field_disc": 49, "field_disc_factorization": [[7, 2]], "field_poly": [1, -2, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.875", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "22.237", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "254.902", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, 1], [13, 1]], "trace_display": [1, -3, -3, -2], "traces": [0, 3, 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