# Stored data for newform 1089.6.a.p, downloaded from the LMFDB on 20 May 2024.
{"Nk2": 39204, "analytic_conductor": 174.6579797763359, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -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": [1089, 1, [848, 244], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 33, "field_disc_factorization": [[3, 1], [11, 1]], "field_poly": [-8, -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": [[2, [34, -13, 1]], [5, [16, 58, 1]], [7, [-26384, 146, 1]]], "hecke_orbit": 16, "hecke_orbit_code": 67553994511221825, "hecke_ring_generator_nbound": 2, "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_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "1089.6.a.p", "level": 1089, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [3, 11], "level_radical": 33, "minimal_twist": "33.6.a.e", "nf_label": "2.2.33.1", "prim_orbit_index": 1, "qexp_display": "q+(7-\\beta )q^{2}+(5^{2}-13\\beta )q^{4}+(-24+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1089.6.a", "trace_display": [13, 0, -58, -146], "trace_hash": 2052114554815967528, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.972", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, 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