# Stored data for newform 138.6.a.h, downloaded from the LMFDB on 19 April 2024.
{"label": "138.6.a.h", "space_label": "138.6.a", "level": 138, "weight": 6, "hecke_orbit": 8, "hecke_orbit_code": 31525197492256906, "dim": 3, "is_polredabs": true, "trace_hash": 990474566545162070, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-23184, -4096, 4, 1]]], "qexp_display": "q-4q^{2}+9q^{3}+2^{4}q^{4}+(-1+\\beta _{1}+\\cdots)q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4968, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 22.13296713419133, "hecke_ring_index": 4, "level_radical": 138, "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": 0, "analytic_rank_proved": true, "char_values": [138, 1, [47, 97], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3, 23], "conrey_indexes": [1], "field_disc": 167173172, "field_disc_factorization": [[2, 2], [17, 1], [19, 1], [47, 1], [2753, 1]], "field_poly": [-1873, -1025, -1, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.040", "prec": 17}, {"__RealLiteral__": 0, "data": "2.933", "prec": 17}, {"__RealLiteral__": 0, "data": "0.442", "prec": 17}, {"__RealLiteral__": 0, "data": "22.373", "prec": 20}, {"__RealLiteral__": 0, "data": "7.435", "prec": 17}, {"__RealLiteral__": 0, "data": "244.478", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [23, 1]], "trace_display": [-12, 27, -4, -34], "traces": [0, 3, -12, 27, 48, -4, -108, -34, -192, 243, 16, 300, 432, 998, 136, -36, 768, 392, -972, 2298, -64, -306, -1200, -1587, -1728, -1167, 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