# Stored data for newform 768.4.a.r, downloaded from the LMFDB on 24 April 2024.
{"label": "768.4.a.r", "space_label": "768.4.a", "level": 768, "weight": 4, "hecke_orbit": 18, "hecke_orbit_code": 76561193732408064, "dim": 3, "is_polredabs": true, "nf_label": "3.3.1436.1", "trace_hash": 1857421685529162530, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [104, -164, -10, 1]], [7, [-5816, -580, 14, 1]], [11, [-49152, -2816, 0, 1]], [19, [274752, -11088, 28, 1]]], "qexp_display": "q-3q^{3}+(3+\\beta _{2})q^{5}+(-5+\\beta _{1})q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 12288, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 45.31346688440879, "hecke_ring_index": 32, "level_radical": 6, "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, "is_rm": false, 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