Atkin-Lehner |
2- 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
1440n |
Isogeny class |
Conductor |
1440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2015539200 = 212 · 39 · 52 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32412,2245984] |
[a1,a2,a3,a4,a6] |
j |
1261112198464/675 |
j-invariant |
L |
2.4178902130141 |
L(r)(E,1)/r! |
Ω |
1.2089451065071 |
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 |
1440g2 2880m1 480d2 7200p3 |
Quadratic twists by: -4 8 -3 5 |