Atkin-Lehner |
2- 3- 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810do |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
90141593434200 = 23 · 310 · 52 · 74 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30518483,-64884573669] |
[a1,a2,a3,a4,a6] |
j |
4312062001113383350892521/123651019800 |
j-invariant |
L |
3.0831880251997 |
L(r)(E,1)/r! |
Ω |
0.064233090822475 |
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 |
39270v4 |
Quadratic twists by: -3 |