# Stored data for newform 276.8.a.a, downloaded from the LMFDB on 17 May 2024.
{"label": "276.8.a.a", "space_label": "276.8.a", "level": 276, "weight": 8, "hecke_orbit": 1, "hecke_orbit_code": 134218004, "dim": 5, "is_polredabs": true, "trace_hash": 658345718032344472, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[5, [-954494730000, 3570710000, 45210400, -170050, -252, 1]]], "qexp_display": "q-3^{3}q^{3}+(50+\\beta _{3})q^{5}+(3^{4}+2\\beta _{1}+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 17664, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 86.21826703361761, "hecke_ring_index": 48, "level_radical": 138, "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, "trace_zratio": 0, "analytic_rank_proved": true, "char_values": [276, 1, [139, 185, 97], [1, 1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3, 23], "conrey_indexes": [1], "field_disc": 6342564133445522215944, "field_disc_factorization": [[2, 3], [3, 1], [264273505560230092331, 1]], "field_poly": [-21076942492, 425424304, 7346801, -82397, -1, 1], "hecke_ring_index_factorization": [[2, 4], [3, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.007", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "70.775", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1503.823", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "7.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [23, 1]], "trace_display": [0, -135, 252, 414], "traces": [0, 5, 0, -135, 0, 252, 0, 414, 0, 3645, 0, -1040, 0, -15626, 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