Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520cu |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
565022822400 = 212 · 38 · 52 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10452,409696] |
[a1,a2,a3,a4,a6] |
j |
42289683904/189225 |
j-invariant |
L |
3.7024405156569 |
L(r)(E,1)/r! |
Ω |
0.92561012471731 |
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 |
83520cv2 41760u1 27840bh2 |
Quadratic twists by: -4 8 -3 |