Atkin-Lehner |
2- 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3570t |
Isogeny class |
Conductor |
3570 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-3563732336640 = -1 · 224 · 3 · 5 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3060,64557] |
[a1,a2,a3,a4,a6] |
j |
3168685387909439/3563732336640 |
j-invariant |
L |
3.1536438892315 |
L(r)(E,1)/r! |
Ω |
0.52560731487192 |
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 |
28560ef1 114240dk1 10710f1 17850u1 |
Quadratic twists by: -4 8 -3 5 |