# Stored data for newform 578.6.a.d, downloaded from the LMFDB on 23 May 2026.
{"Nk2": 20808, "analytic_conductor": 92.70184785190281, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [17, 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": [578, 1, [3], [1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 1505580, "field_disc_factorization": [[2, 2], [3, 1], [5, 1], [23, 1], [1091, 1]], "field_poly": [-480, -200, -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, [-6228, -798, 4, 1]]], "hecke_orbit": 4, "hecke_orbit_code": 13510798982775362, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 2, "hecke_ring_index_factorization": [[2, 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": "578.6.a.d", "level": 578, "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, 17], "level_radical": 34, "minimal_twist": "34.6.a.d", "nf_label": "3.3.1505580.1", "prim_orbit_index": 1, "qexp_display": "q+4q^{2}+(-1-\\beta _{2})q^{3}+2^{4}q^{4}+(-7^{2}+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "578.6.a", "trace_display": [12, -4, -144, 18], "trace_hash": 958759802900439877, "trace_moments": [{"__RealLiteral__": 0, "data": "0.052", "prec": 17}, {"__RealLiteral__": 0, "data": "2.935", "prec": 17}, {"__RealLiteral__": 0, "data": 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