# Stored data for newform 608.4.a.h, downloaded from the LMFDB on 14 June 2025.
{"Nk2": 9728, "analytic_conductor": 35.87316128349029, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [19, 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": [608, 1, [191, 229, 97], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 5, "field_disc": 846464628, "field_disc_factorization": [[2, 2], [3, 1], [70538719, 1]], "field_poly": [-12, 73, -8, -28, -2, 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, [-1824, 496, 228, -47, -6, 1]], [5, [-80160, 10428, 1825, -257, -5, 1]]], "hecke_orbit": 8, "hecke_orbit_code": 31525197458702944, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 16, "hecke_ring_index_factorization": [[2, 4]], "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": "608.4.a.h", "level": 608, "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, 19], "level_radical": 38, "minimal_twist": "608.4.a.e", "prim_orbit_index": 1, "qexp_display": "q+(1+\\beta _{2})q^{3}+(1-\\beta _{2}+\\beta _{3})q^{5}+(-1+\\cdots)q^{7}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "608.4.a", "trace_display": [0, 6, 5, -7], "trace_hash": 1603372147037048068, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, 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