# Stored data for newform 324.6.a.c, downloaded from the LMFDB on 18 December 2025.
{"Nk2": 11664, "analytic_conductor": 51.964357619405725, "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": 4, "field_disc": 1192464, "field_disc_factorization": [[2, 4], [3, 2], [7, 2], [13, 2]], "field_poly": [484, 0, -47, 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": 1, "hecke_cutters": [[5, [6765201, 0, -7902, 0, 1]]], "hecke_orbit": 3, "hecke_orbit_code": 9007199355404612, "hecke_ring_generator_nbound": 11, "hecke_ring_index": 1296, "hecke_ring_index_factorization": [[2, 4], [3, 4]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0]], "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": true, "label": "324.6.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": "324.6.a.c", "nf_label": "4.4.1192464.3", "prim_orbit_index": 1, "qexp_display": "q+(2\\beta _{1}+\\beta _{2})q^{5}+(44+\\beta _{3})q^{7}+(-11\\beta _{1}+\\cdots)q^{11}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "324.6.a", "trace_display": [0, 0, 0, 176], "trace_hash": 555502544705448415, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, 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