Atkin-Lehner |
2+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
90160o |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-676481750000 = -1 · 24 · 56 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 0 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9163,339913] |
[a1,a2,a3,a4,a6] |
Generators |
[56:49:1] [64:125:1] |
Generators of the group modulo torsion |
j |
-45198971136/359375 |
j-invariant |
L |
6.6619090532988 |
L(r)(E,1)/r! |
Ω |
0.91195184944928 |
Real period |
R |
1.8262776311613 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45080h1 1840c1 |
Quadratic twists by: -4 -7 |