Atkin-Lehner |
2- 3- 7+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89838x |
Isogeny class |
Conductor |
89838 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
118784 |
Modular degree for the optimal curve |
Δ |
334736388 = 22 · 36 · 7 · 232 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21530,1221301] |
[a1,a2,a3,a4,a6] |
j |
1513942435265625/459172 |
j-invariant |
L |
5.4990510787914 |
L(r)(E,1)/r! |
Ω |
1.3747627621218 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9982a1 |
Quadratic twists by: -3 |