# Stored data for newform 1323.4.a.be, downloaded from the LMFDB on 15 September 2024.
{"Nk2": 21168, "analytic_conductor": 78.05952693759484, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, 1], [7, -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": [1323, 1, [785, 1081], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 6, "field_disc": 116410382208, "field_disc_factorization": [[2, 7], [3, 2], [71, 1], [1193, 2]], "field_poly": [-1278, 0, 453, 0, -40, 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": 1, "hecke_cutters": [[2, [-1278, 0, 453, 0, -40, 0, 1]], [5, [-20448, 0, 29892, 0, -352, 0, 1]], [13, [35818, -3211, 26, 1]]], "hecke_orbit": 31, "hecke_orbit_code": 135107988888225067, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 36, "hecke_ring_index_factorization": [[2, 2], [3, 2]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0]], "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": "1323.4.a.be", "level": 1323, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [3, 7], "level_radical": 21, "minimal_twist": "189.4.e.e", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}+(5+\\beta _{3})q^{4}-\\beta _{4}q^{5}+(\\beta _{1}+\\cdots)q^{8}+\\cdots", "related_objects": [], "relative_dim": 6, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1323.4.a", "trace_display": [0, 0, 0, 0], "trace_hash": 1921625424046506209, 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