Atkin-Lehner |
2- 3+ 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810cu |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
-1262270827125000 = -1 · 23 · 33 · 56 · 76 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44147,3969371] |
[a1,a2,a3,a4,a6] |
j |
-352414942944043923/46750771375000 |
j-invariant |
L |
5.6316678599354 |
L(r)(E,1)/r! |
Ω |
0.46930571328413 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
117810h4 |
Quadratic twists by: -3 |