Atkin-Lehner |
2- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
88400u |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
25397320000000000 = 212 · 510 · 133 · 172 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 4 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-83333,-5162963] |
[a1,a2,a3,a4,a6] |
j |
1600000000/634933 |
j-invariant |
L |
0.58151125194631 |
L(r)(E,1)/r! |
Ω |
0.29075561943472 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5525a1 88400ce1 |
Quadratic twists by: -4 5 |