# Stored data for newform 435.4.a.j, downloaded from the LMFDB on 10 February 2026.
{"Nk2": 6960, "analytic_conductor": 25.665830852497166, "analytic_rank": 1, "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": [435, 1, [146, 262, 31], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 7, "field_disc": 838855427524360, "field_disc_factorization": [[2, 3], [5, 1], [20971385688109, 1]], "field_poly": [638, -767, -167, 329, 18, -35, -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, [-638, -767, 167, 329, -18, -35, 1, 1]]], "hecke_orbit": 10, "hecke_orbit_code": 40532396713443763, "hecke_ring_generator_nbound": 13, "hecke_ring_index": 8, "hecke_ring_index_factorization": [[2, 3]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "435.4.a.j", "level": 435, "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": true, "level_primes": [3, 5, 29], "level_radical": 435, "minimal_twist": "435.4.a.j", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}+3q^{3}+(2+\\beta _{1}+\\beta _{2})q^{4}+\\cdots", "related_objects": [], "relative_dim": 7, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "435.4.a", "trace_display": [-1, 21, -35, -37], "trace_hash": 82922130588994460, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": 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