Atkin-Lehner |
2- 3+ 7+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33558v |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1271808 |
Modular degree for the optimal curve |
Δ |
4826475859968 = 212 · 36 · 7 · 173 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24548747,-46825992007] |
[a1,a2,a3,a4,a6] |
j |
1636107002589644535221055793/4826475859968 |
j-invariant |
L |
4.8834272075264 |
L(r)(E,1)/r! |
Ω |
0.067825377882345 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100674d1 |
Quadratic twists by: -3 |