Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4080w |
Isogeny class |
Conductor |
4080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
162437529600 = 219 · 36 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-185640,30848112] |
[a1,a2,a3,a4,a6] |
j |
172735174415217961/39657600 |
j-invariant |
L |
1.6249190031474 |
L(r)(E,1)/r! |
Ω |
0.8124595015737 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
510b2 16320cn2 12240bo2 20400dc2 |
Quadratic twists by: -4 8 -3 5 |