# Stored data for newform 4235.2.a.v, downloaded from the LMFDB on 25 April 2024.
{"label": "4235.2.a.v", "space_label": "4235.2.a", "level": 4235, "weight": 2, "hecke_orbit": 22, "hecke_orbit_code": 94575592208339083, "dim": 4, "is_polredabs": true, "nf_label": "4.4.15952.1", "trace_hash": 1081892628235782981, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [1, -2, -6, 0, 1]], [3, [-6, -14, -6, 2, 1]], [13, [-442, 14, 70, -16, 1]]], "qexp_display": "q+\\beta _{1}q^{2}-\\beta _{2}q^{3}+(1+\\beta _{1}+\\beta _{2}+\\beta _{3})q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16940, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 33.816645256012244, "hecke_ring_index": 1, "level_radical": 385, "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": "0.016", "prec": 17}, "analytic_rank_proved": true, "char_values": [4235, 1, [2542, 1816, 2906], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 7, 11], "conrey_indexes": [1], "field_disc": 15952, "field_disc_factorization": [[2, 4], [997, 1]], "field_poly": [1, -2, -6, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.035", "prec": 17}, {"__RealLiteral__": 0, "data": "3.970", "prec": 17}, {"__RealLiteral__": 0, "data": "0.704", "prec": 17}, {"__RealLiteral__": 0, "data": "42.499", "prec": 20}, {"__RealLiteral__": 0, "data": "12.790", "prec": 20}, {"__RealLiteral__": 0, "data": "667.927", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, -1], [7, 1], [11, 1]], "trace_display": [0, -2, 4, -4], "traces": [0, 4, 0, -2, 4, 4, 4, -4, 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