Atkin-Lehner |
2- 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39100p |
Isogeny class |
Conductor |
39100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34080 |
Modular degree for the optimal curve |
Δ |
-12218750000 = -1 · 24 · 59 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3 5- 2 1 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,500,3125] |
[a1,a2,a3,a4,a6] |
j |
442368/391 |
j-invariant |
L |
6.6042477027317 |
L(r)(E,1)/r! |
Ω |
0.82553096284381 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39100n1 |
Quadratic twists by: 5 |