# Stored data for newform 1340.4.a.e, downloaded from the LMFDB on 06 May 2024.
{"label": "1340.4.a.e", "space_label": "1340.4.a", "level": 1340, "weight": 4, "hecke_orbit": 5, "hecke_orbit_code": 18014398576592188, "dim": 17, "is_polredabs": true, "trace_hash": 1406427006075032579, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-19975750400, 49898933120, 1876305456, -56452350888, 2753015420, 17570566600, 247532758, -1969847794, -69044274, 101036097, 3814004, -2732228, -89672, 40607, 972, -315, -4, 1]]], "qexp_display": "q+\\beta _{1}q^{3}+5q^{5}+(3-\\beta _{6})q^{7}+(11+\\beta _{1}+\\cdots)q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 21440, "fricke_eigenval": 1, "atkin_lehner_string": "--+", "analytic_conductor": 79.06255940769242, "hecke_ring_index": 256, "level_radical": 670, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [1340, 1, [671, 537, 1141], [1, 1, 1]], "hecke_ring_generator_nbound": 17, "inner_twist_count": 1, "level_primes": [2, 5, 67], "conrey_indexes": [1], "field_disc": 39938639431095461622788165037846554772058799456550170337672076738800, "field_disc_factorization": [[2, 4], [3, 3], [5, 2], [455238671, 1], [268435219624469, 1], [631365672860983, 1], [47930272893893672657833433, 1]], "field_poly": [-19975750400, 49898933120, 1876305456, -56452350888, 2753015420, 17570566600, 247532758, -1969847794, -69044274, 101036097, 3814004, -2732228, -89672, 40607, 972, -315, -4, 1], "hecke_ring_index_factorization": [[2, 8]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.241", "prec": 17}, {"__RealLiteral__": 0, "data": "12.213", "prec": 20}, {"__RealLiteral__": 0, "data": "11.783", "prec": 20}, 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