# Stored data for newform 338.10.a.j, downloaded from the LMFDB on 11 February 2025.
{"Nk2": 33800, "analytic_conductor": 174.08211262338912, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [13, -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": [338, 1, [171], [1]], "cm_discs": [], "conrey_index": 1, "dim": 5, "field_disc": 37208225003395251143381372, "field_disc_factorization": [[2, 2], [7, 2], [233, 1], [24977, 1], [13470383, 1], [2421624169, 1]], "field_poly": [-24400132848, 717146696, -355103, -60825, -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": [[3, [-35717361264, 682140456, 2522001, -58201, -81, 1]], [5, [625791896442000, 1783123495200, -43240635, -3219353, -1213, 1]]], "hecke_orbit": 10, "hecke_orbit_code": 40532396814106962, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 24, "hecke_ring_index_factorization": [[2, 3], [3, 1]], "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": "338.10.a.j", "level": 338, "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, 13], "level_radical": 26, "minimal_twist": "26.10.b.a", "prim_orbit_index": 1, "qexp_display": "q+2^{4}q^{2}+(2^{4}+\\beta _{1})q^{3}+2^{8}q^{4}+(3^{5}+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "9.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "338.10.a", "trace_display": [80, 81, 1213, -8715], "trace_hash": 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