# Stored data for newform 867.6.a.m, downloaded from the LMFDB on 03 June 2024.
{"Nk2": 31212, "analytic_conductor": 139.05277177785422, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -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": [867, 1, [290, 292], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 8, "field_disc": 19009571542014151726124182439232, "field_disc_factorization": [[2, 6], [3, 1], [47, 1], [977, 1], [489793, 1], [553599533, 1], [7951890461, 1]], "field_poly": [110880, 634992, -289744, -33552, 14182, 561, -217, -3, 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, [110880, 634992, -289744, -33552, 14182, 561, -217, -3, 1]], [5, [-2744764498944, 2022766483200, -117649898944, -1859294400, 109490096, 188700, -19709, 0, 1]]], "hecke_orbit": 13, "hecke_orbit_code": 54043195629110115, "hecke_ring_generator_nbound": 11, "hecke_ring_index": 48, "hecke_ring_index_factorization": [[2, 4], [3, 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": true, "label": "867.6.a.m", "level": 867, "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": [3, 17], "level_radical": 51, "minimal_twist": "867.6.a.l", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}+9q^{3}+(23+\\beta _{2})q^{4}+(\\beta _{1}+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 8, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, 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