# Stored data for newform 2738.2.a.s, downloaded from the LMFDB on 25 April 2024.
{"label": "2738.2.a.s", "space_label": "2738.2.a", "level": 2738, "weight": 2, "hecke_orbit": 19, "hecke_orbit_code": 81064793326226098, "dim": 6, "is_polredabs": true, "nf_label": "6.6.1259712.1", "trace_hash": 498742297800124775, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [1, -3, 0, 1]], [5, [9, 0, -45, -42, 0, 6, 1]], [7, [1, -12, 36, -2, -15, 0, 1]], [13, [537, -90, -288, -30, 39, 12, 1]], [17, [9, -324, -477, -120, 27, 12, 1]]], "qexp_display": "q+q^{2}+(\\beta _{2}+\\beta _{4})q^{3}+q^{4}+(-1-\\beta _{3}+\\cdots)q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 10952, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 21.863040073426568, "hecke_ring_index": 1, "level_radical": 74, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 36, "field_poly_is_real_cyclotomic": true, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.039", "prec": 17}, "analytic_rank_proved": true, "char_values": [2738, 1, [1371], [1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 37], "conrey_indexes": [1], "field_disc": 1259712, "field_disc_factorization": [[2, 6], [3, 9]], "field_poly": [-3, 0, 9, 0, -6, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.596", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "89.524", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2228.051", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [37, -1]], 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