# Stored data for newform 5175.2.a.bw, downloaded from the LMFDB on 25 April 2024. {"label": "5175.2.a.bw", "space_label": "5175.2.a", "level": 5175, "weight": 2, "hecke_orbit": 49, "hecke_orbit_code": 216172782147343415, "dim": 4, "is_polredabs": true, "nf_label": "4.4.5744.1", "trace_hash": 1926695544877121318, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 2, -5, 0, 1]], [7, [-4, 12, 4, -6, 1]], [11, [-28, -44, -16, 2, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+(\\beta _{1}+\\beta _{2}+\\beta _{3})q^{4}+(1+\\beta _{2}+\\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": 20700, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 41.322583046012596, "hecke_ring_index": 1, "level_radical": 345, "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": "0.011", "prec": 17}, "analytic_rank_proved": true, "char_values": [5175, 1, [4601, 3727, 2926], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 23], "conrey_indexes": [1], "field_disc": 5744, "field_disc_factorization": [[2, 4], [359, 1]], "field_poly": [1, -2, -5, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.062", "prec": 17}, {"__RealLiteral__": 0, "data": "3.803", "prec": 17}, {"__RealLiteral__": 0, "data": "0.803", "prec": 17}, {"__RealLiteral__": 0, "data": "37.842", "prec": 20}, {"__RealLiteral__": 0, "data": "14.707", "prec": 20}, {"__RealLiteral__": 0, "data": "538.625", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": 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