Atkin-Lehner |
2- 5- 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
10810f |
Isogeny class |
Conductor |
10810 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
5091942400000 = 216 · 55 · 232 · 47 |
Discriminant |
Eigenvalues |
2- 1 5- 1 -1 -5 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-69105,6985577] |
[a1,a2,a3,a4,a6] |
Generators |
[94:1103:1] |
Generators of the group modulo torsion |
j |
36496609335874699921/5091942400000 |
j-invariant |
L |
8.1719701412871 |
L(r)(E,1)/r! |
Ω |
0.73975786759378 |
Real period |
R |
0.069042609238041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86480f1 97290c1 54050a1 |
Quadratic twists by: -4 -3 5 |