# Stored data for newform 670.2.k.b, downloaded from the LMFDB on 09 June 2024.
{"Nk2": 2680, "analytic_conductor": 5.349976935425786, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 67, "char_degree": 10, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 11, "char_orbit_label": "k", "char_order": 11, "char_parity": 1, "char_values": [670, 11, [537, 471], [11, 4]], "cm_discs": [], "conrey_index": 81, "dim": 50, "has_non_self_twist": 1, "hecke_cutters": [[3, [64009, 225423, 1440263, 14763815, 116233689, 652386526, 2805769714, 9450777853, 26274848435, 62933364087, 132321076328, 240684729183, 375073336643, 496431459955, 553094842245, 502390032676, 358072042553, 203309704561, 112442306923, 83103184355, 63621750746, 12011809373, -9921834590, -12722351941, 6620074601, 7837311923, 1553105918, 95138610, -183126457, -142662331, 213373862, 88511693, 27261537, 12768610, 4804436, -458816, 1127962, -182286, 87229, 34240, 6126, 2753, 1171, -138, 533, -140, 102, -22, 10, -2, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4504286855692958, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 67, 5, 1, 11, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "670.2.k.b", "level": 670, "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": [2, 5, 67], "level_radical": 670, "minimal_twist": "670.2.k.b", "prim_orbit_index": 5, "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "1.2.3.c11", "self_twist_discs": [], "self_twist_type": 0, "space_label": "670.2.k", "trace_display": [-5, 2, 5, 1], "traces": [50, -5, 2, -5, 5, 2, 1, -5, -1, 5, 30, -9, 20, -21, -2, -5, 2, -1, 4, 5, 23, -3, -5, 2, -5, -2, 2, -10, 26, -2, 3, -5, 38, 2, -12, -1, 22, -40, -35, 5, -18, -10, 87, -3, 12, 17, 35, 2, 60, -5, 19, -24, -9, 2, 25, 12, 64, 4, -49, -2, -47, -19, -24, 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"projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp_display": null, "trace_hash": null, "trace_moments": null, "trace_zratio": null}