Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
58080cd |
Isogeny class |
Conductor |
58080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
434616918405120 = 212 · 32 · 5 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-317665,-69011857] |
[a1,a2,a3,a4,a6] |
j |
367061696/45 |
j-invariant |
L |
1.608793418567 |
L(r)(E,1)/r! |
Ω |
0.20109917721239 |
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 |
58080g2 116160h1 58080t2 |
Quadratic twists by: -4 8 -11 |