# Stored data for newform 1380.4.a.e, downloaded from the LMFDB on 22 January 2026.
{"Nk2": 22080, "analytic_conductor": 81.42263580792205, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, 1], [5, 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": [1380, 1, [691, 461, 277, 1201], [1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 5, "field_disc": 5394844435464, "field_disc_factorization": [[2, 3], [3, 2], [11, 1], [73, 1], [521, 1], [179099, 1]], "field_poly": [-33408, 14064, 216, -278, -1, 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": [[7, [-189888, 55452, -355, -697, 7, 1]]], "hecke_orbit": 5, "hecke_orbit_code": 18014398576592228, "hecke_ring_generator_nbound": 11, "hecke_ring_index": 8, "hecke_ring_index_factorization": [[2, 3]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "1380.4.a.e", "level": 1380, "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": [2, 3, 5, 23], "level_radical": 690, "minimal_twist": "1380.4.a.e", "prim_orbit_index": 1, "qexp_display": "q-3q^{3}-5q^{5}+(-1-\\beta _{2})q^{7}+9q^{9}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1380.4.a", "trace_display": [0, -15, -25, -7], "trace_hash": 1280283023701930192, "trace_moments": [{"__RealLiteral__": 0, "data": "0.047", "prec": 17}, 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