# Stored data for newform 324.4.a.c, downloaded from the LMFDB on 07 October 2024. {"Nk2": 5184, "analytic_conductor": 19.11661884185996, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, 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": [324, 1, [163, 245], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 1509, "field_disc_factorization": [[3, 1], [503, 1]], "field_poly": [4, -7, -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": [[5, [-864, -171, 6, 1]]], "hecke_orbit": 3, "hecke_orbit_code": 9007199321850180, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 18, "hecke_ring_index_factorization": [[2, 1], [3, 2]], "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": "324.4.a.c", "level": 324, "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": [2, 3], "level_radical": 6, "minimal_twist": "36.4.e.a", "nf_label": "3.3.1509.1", "prim_orbit_index": 1, "qexp_display": "q+(-2-\\beta _{2})q^{5}+(2-\\beta _{1}+\\beta _{2})q^{7}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "324.4.a", "trace_display": [0, 0, -6, 6], "trace_hash": 1578875652412929603, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, 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