Atkin-Lehner |
2+ 3+ 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
100464j |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-2408114441501862912 = -1 · 210 · 33 · 78 · 134 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,169448,-69723968] |
[a1,a2,a3,a4,a6] |
j |
525448956773718428/2351674259279163 |
j-invariant |
L |
2.0851479748456 |
L(r)(E,1)/r! |
Ω |
0.13032176039943 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50232t3 |
Quadratic twists by: -4 |