# Stored data for newform 1305.4.a.h, downloaded from the LMFDB on 08 December 2024.
{"Nk2": 20880, "analytic_conductor": 76.9974925574915, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [5, -1], [29, 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": [1305, 1, [146, 262, 901], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 6, "field_disc": 966908799406120, "field_disc_factorization": [[2, 3], [5, 1], [17, 1], [1097, 1], [1296193897, 1]], "field_poly": [-2588, -82, 692, 27, -49, -1, 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, [-2588, 82, 692, -27, -49, 1, 1]]], "hecke_orbit": 8, "hecke_orbit_code": 31525197458703641, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 4, "hecke_ring_index_factorization": [[2, 2]], "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": "1305.4.a.h", "level": 1305, "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, 5, 29], "level_radical": 435, "minimal_twist": "435.4.a.h", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}+(8+\\beta _{1}+\\beta _{2})q^{4}+5q^{5}+\\cdots", "related_objects": [], "relative_dim": 6, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1305.4.a", "trace_display": [-1, 0, 30, 47], "trace_hash": 568775498664732932, "trace_moments": [{"__RealLiteral__": 0, "data": "0.020", "prec": 17}, {"__RealLiteral__": 0, "data": 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