# Stored data for newform 990.6.a.ba, downloaded from the LMFDB on 22 January 2026.
{"Nk2": 35640, "analytic_conductor": 158.77998161485084, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, -1], [5, 1], [11, -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": [990, 1, [551, 397, 541], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 41353257, "field_disc_factorization": [[3, 1], [11, 1], [211, 1], [5939, 1]], "field_poly": [3072, -462, -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, [5952592, -17472, -273, 1]], [17, [1839018960, -2850906, -627, 1]]], "hecke_orbit": 27, "hecke_orbit_code": 117093590412297182, "hecke_ring_generator_nbound": 13, "hecke_ring_index": 6, "hecke_ring_index_factorization": [[2, 1], [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": true, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "990.6.a.ba", "level": 990, "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, 11], "level_radical": 330, "minimal_twist": "110.6.a.g", "prim_orbit_index": 1, "qexp_display": "q+4q^{2}+2^{4}q^{4}-5^{2}q^{5}+(91-2\\beta _{1}+\\cdots)q^{7}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "990.6.a", "trace_display": [12, 0, -75, 273], "trace_hash": 2281004271683391234, "trace_moments": [{"__RealLiteral__": 0, "data": "0.036", "prec": 17}, 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