# Stored data for newform 1690.2.a.q, downloaded from the LMFDB on 08 December 2025.
{"Nk2": 6760, "analytic_conductor": 13.494717941596384, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [5, -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": [1690, 1, [677, 171], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 49, "field_disc_factorization": [[7, 2]], "field_poly": [1, -2, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 14, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[3, [1, -2, -1, 1]], [7, [1, 6, 5, 1]], [11, [-8, -4, 4, 1]], [31, [-344, -44, 8, 1]]], "hecke_orbit": 17, "hecke_orbit_code": 72057594071484058, "hecke_ring_generator_nbound": 3, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "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": true, "label": "1690.2.a.q", "level": 1690, "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, 5, 13], "level_radical": 130, "minimal_twist": "1690.2.a.q", "nf_label": "3.3.49.1", "prim_orbit_index": 1, "qexp_display": "q-q^{2}+\\beta _{1}q^{3}+q^{4}+q^{5}-\\beta _{1}q^{6}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1690.2.a", "trace_display": [-3, 1, 3, -5], "trace_hash": 1583066354335101950, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.860", "prec": 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