Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520fa |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8238032750592000 = -1 · 214 · 314 · 53 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 6 -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4188,-4368112] |
[a1,a2,a3,a4,a6] |
j |
-680136784/689725125 |
j-invariant |
L |
0.74764081238609 |
L(r)(E,1)/r! |
Ω |
0.18691020326253 |
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 |
83520bf2 20880ch2 27840cv2 |
Quadratic twists by: -4 8 -3 |