Atkin-Lehner |
3+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
5565d |
Isogeny class |
Conductor |
5565 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
5726385 = 32 · 5 · 74 · 53 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-119300,15810500] |
[a1,a2,a3,a4,a6] |
j |
187778242790732059201/5726385 |
j-invariant |
L |
0.63618858554734 |
L(r)(E,1)/r! |
Ω |
1.2723771710947 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89040cp1 16695j1 27825l1 38955k1 |
Quadratic twists by: -4 -3 5 -7 |