Atkin-Lehner |
2- 3+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
24360t |
Isogeny class |
Conductor |
24360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
44741039938560 = 210 · 316 · 5 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23840,1387740] |
[a1,a2,a3,a4,a6] |
j |
1463392165415044/43692421815 |
j-invariant |
L |
2.5475903003903 |
L(r)(E,1)/r! |
Ω |
0.63689757509762 |
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 |
48720bb3 73080f3 121800w3 |
Quadratic twists by: -4 -3 5 |