# Stored data for newform 546.8.a.j, downloaded from the LMFDB on 25 April 2024. {"label": "546.8.a.j", "space_label": "546.8.a", "level": 546, "weight": 8, "hecke_orbit": 10, "hecke_orbit_code": 40532396780552738, "dim": 5, "is_polredabs": true, "trace_hash": 1213375722835685618, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[5, [-760043700000, 13081672000, 15331750, -270735, -56, 1]]], "qexp_display": "q-8q^{2}+3^{3}q^{3}+2^{6}q^{4}+(11-\\beta _{2}+\\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": 34944, "fricke_eigenval": -1, "atkin_lehner_string": "+-++", "analytic_conductor": 170.56222391433047, "hecke_ring_index": 108, "level_radical": 546, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, 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