# Stored data for newform 1617.4.a.p, downloaded from the LMFDB on 01 June 2024.
{"Nk2": 25872, "analytic_conductor": 95.40608847928257, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, 1], [7, -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": [1617, 1, [1079, 199, 442], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 5, "field_disc": 12761146269, "field_disc_factorization": [[3, 3], [472635047, 1]], "field_poly": [-64, 108, -11, -28, 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": 0, "hecke_cutters": [[2, [-6, 7, 85, -18, -5, 1]], [5, [15536, -2446, -3499, -383, 7, 1]]], "hecke_orbit": 16, "hecke_orbit_code": 67553994477667921, "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": "1617.4.a.p", "level": 1617, "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, 7, 11], "level_radical": 231, "minimal_twist": "231.4.a.l", "prim_orbit_index": 1, "qexp_display": "q+(1-\\beta _{1})q^{2}-3q^{3}+(4-\\beta _{1}+\\beta _{2}+\\cdots)q^{4}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1617.4.a", "trace_display": [5, -15, -7, 0], "trace_hash": 1839687228921293498, "trace_moments": [{"__RealLiteral__": 0, "data": "0.093", "prec": 17}, {"__RealLiteral__": 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