Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520dc |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
421787276830310400 = 222 · 314 · 52 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-190092,-6423824] |
[a1,a2,a3,a4,a6] |
j |
3975097468321/2207120400 |
j-invariant |
L |
3.9216176096337 |
L(r)(E,1)/r! |
Ω |
0.2451011016317 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
83520go2 2610c2 27840bl2 |
Quadratic twists by: -4 8 -3 |