Atkin-Lehner |
2- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128800w |
Isogeny class |
Conductor |
128800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-626843840000000 = -1 · 212 · 57 · 7 · 234 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 3 -5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51133,-4627637] |
[a1,a2,a3,a4,a6] |
j |
-231023443456/9794435 |
j-invariant |
L |
1.2667969581809 |
L(r)(E,1)/r! |
Ω |
0.1583497206407 |
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 |
128800l1 25760e1 |
Quadratic twists by: -4 5 |