# Stored data for newform 1127.4.a.e, downloaded from the LMFDB on 02 November 2025.
{"Nk2": 18032, "analytic_conductor": 66.49515257646968, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[7, -1], [23, -1]], "atkin_lehner_string": "--", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [1127, 1, [346, 442], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 8, "field_disc": 390352624527566916, "field_disc_factorization": [[2, 2], [3, 5], [5423071, 1], [74053493, 1]], "field_poly": [110, -3403, -2430, 594, 587, -23, -44, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[2, [110, 3403, -2430, -594, 587, 23, -44, 0, 1]], [3, [2944, -158364, -85750, 3444, 6672, 231, -151, -3, 1]]], "hecke_orbit": 5, "hecke_orbit_code": 18014398576591975, "hecke_ring_generator_nbound": 3, "hecke_ring_index": 4, "hecke_ring_index_factorization": [[2, 2]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "1127.4.a.e", "level": 1127, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [7, 23], "level_radical": 161, "minimal_twist": "161.4.a.b", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}-\\beta _{4}q^{3}+(3+\\beta _{1}+\\beta _{3}-\\beta _{4}+\\cdots)q^{4}+\\cdots", "related_objects": [], "relative_dim": 8, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1127.4.a", "trace_display": [0, 3, 24, 0], "trace_hash": 1387987470209049842, 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