# Stored data for newform 540.2.y.a, downloaded from the LMFDB on 10 June 2024.
{"Nk2": 2160, "analytic_conductor": 4.311921709149141, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 180, "char_degree": 4, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 25, "char_orbit_label": "y", "char_order": 12, "char_parity": 1, "char_values": [540, 12, [271, 461, 217], [6, 8, 3]], "cm_discs": [], "conrey_index": 127, "dim": 128, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 1649300996636, "inner_twist_count": 8, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0], [1, 1, 5, 3, -1, 4, 0], [1, 1, 9, 3, 1, 3, 0], [1, 1, 20, 5, 1, 4, 0], [1, 1, 36, 6, -1, 6, 0], [1, 1, 45, 11, -1, 12, 0], [1, 1, 180, 24, 1, 12, 0]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "540.2.y.a", "level": 540, "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": [2, 3, 5], "level_radical": 30, "minimal_twist": "180.2.x.a", "prim_orbit_index": 24, "related_objects": [], "relative_dim": 32, "rm_discs": [], "sato_tate_group": "1.2.3.c12", "self_twist_discs": [], "self_twist_type": 0, "space_label": "540.2.y", "trace_display": [2, 0, 4, 0], "traces": [128, 2, 0, 0, 4, 0, 0, 8, 0, -8, 0, 0, -4, 0, 0, -4, 16, 0, 0, 18, 0, -10, 0, 0, -4, 48, 0, 8, 0, 0, 0, -18, 0, 0, 0, 0, -16, 34, 0, -2, 8, 0, 0, 0, 0, -40, 0, 0, 0, -38, 0, -18, 64, 0, 0, 32, 0, -10, 0, 0, -8, -44, 0, 0, -12, 0, 0, -58, 0, -22, 0, 0, -16, 0, 0, -32, 60, 0, 0, -132, 0, 0, 0, 0, -4, -32, 0, -10, 0, 0, 0, -52, 0, 0, 0, 0, -4, -164, 0, -24, -8, 0, 0, 0, 0, -16, 0, 0, 0, -94, 0, -30, 28, 0, 0, -32, 0, 48, 0, 0, -24, 44, 0, 0, -32, 0, 0, -96, 0, -12, 0, 0, -32, 0, 0, -16, -28, 0, 0, 130, 0, 2, 0, 0, -56, -68, 0, 6, 0, 0, 0, 172, 0, 0, 0, 0, -4, 124, 0, -44, -128, 0, 0, 0, 0, -16, 0, 0, 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-402, 0, 10, -736, 0, 0, 224, 0, -120, 0, 0, -184, -504, 0, 0, 388, 0, 0, -388, 0, 104, 0, 0, 40, 0, 0, 256, -468, 0, 0, -880, 0, -568, 0, 0, -76, -24, 0, -68, 0, 0, 0, -238, 0, 0, 0, 0, -4, -968, 0, 76], "weight": 2, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "atkin_lehner_eigenvals": null, "atkin_lehner_string": null, "embedded_related_objects": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "field_poly_is_cyclotomic": null, "field_poly_is_real_cyclotomic": null, "field_poly_root_of_unity": null, "fricke_eigenval": null, "hecke_ring_generator_nbound": null, "hecke_ring_index": null, "hecke_ring_index_factorization": null, "hecke_ring_index_proved": null, "is_polredabs": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp_display": null, "trace_hash": null, "trace_moments": null, "trace_zratio": null}