Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200dk |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-32362142367744000 = -1 · 228 · 39 · 53 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-182115,31140450] |
[a1,a2,a3,a4,a6] |
j |
-66282611823/3211264 |
j-invariant |
L |
2.9254521992614 |
L(r)(E,1)/r! |
Ω |
0.36568152490768 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3150e1 100800kl1 25200dl1 25200dd1 |
Quadratic twists by: -4 8 -3 5 |