Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360gb |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2012774400 = 215 · 33 · 52 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2620801,-1633922785] |
[a1,a2,a3,a4,a6] |
j |
60754168345375814408/61425 |
j-invariant |
L |
2.8477527674545 |
L(r)(E,1)/r! |
Ω |
0.11865636218297 |
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 |
87360dw4 43680br4 |
Quadratic twists by: -4 8 |