# Stored data for newform 69.2.a.a, downloaded from the LMFDB on 11 August 2026.
{"Nk2": 276, "analytic_conductor": 0.5509677739468346, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -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": [69, 1, [47, 28], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [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": 0, "hecke_cutters": [[2, [-1, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 33554501, "hecke_ring_generator_nbound": 1, "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": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "69.2.a.a", "level": 69, "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": true, "level_primes": [3, 23], "level_radical": 69, "minimal_twist": "69.2.a.a", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}+q^{3}-q^{4}+q^{6}-2q^{7}-3q^{8}+\\cdots", "related_objects": ["EllipticCurve/Q/69/a"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "69.2.a", "trace_display": [1, 1, 0, -2], "trace_hash": 538245996156256486, "trace_moments": [{"__RealLiteral__": 0, "data": "0.006", "prec": 4}, {"__RealLiteral__": 0, "data": "0.982", "prec": 10}, 0, {"__RealLiteral__": 0, "data": "1.969", "prec": 14}, 0, {"__RealLiteral__": 0, "data": "4.889", "prec": 14}], 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