Atkin-Lehner |
2- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
23800i |
Isogeny class |
Conductor |
23800 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
124800 |
Modular degree for the optimal curve |
Δ |
-5714380000000000 = -1 · 211 · 510 · 75 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -1 2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9792,3621088] |
[a1,a2,a3,a4,a6] |
j |
5191150/285719 |
j-invariant |
L |
1.6241583192362 |
L(r)(E,1)/r! |
Ω |
0.32483166384723 |
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 |
47600e1 23800f1 |
Quadratic twists by: -4 5 |