Atkin-Lehner |
2- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496cb |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
1005708919570432 = 217 · 78 · 113 |
Discriminant |
Eigenvalues |
2- -1 -2 7+ 11+ -3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36129,-2146367] |
[a1,a2,a3,a4,a6] |
j |
6902546/1331 |
j-invariant |
L |
0.70185502931769 |
L(r)(E,1)/r! |
Ω |
0.35092751465337 |
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 |
34496e1 8624a1 34496cl1 |
Quadratic twists by: -4 8 -7 |