Atkin-Lehner |
2- 3- 5+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
89010bm |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4707783338471700750 = -1 · 2 · 39 · 53 · 234 · 434 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,140602,102365331] |
[a1,a2,a3,a4,a6] |
j |
421670845440478439/6457864661826750 |
j-invariant |
L |
5.8006199210066 |
L(r)(E,1)/r! |
Ω |
0.18126937259359 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29670k3 |
Quadratic twists by: -3 |