Atkin-Lehner |
2- 3- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9690u |
Isogeny class |
Conductor |
9690 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
89403876562500 = 22 · 311 · 58 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1191635,-500782275] |
[a1,a2,a3,a4,a6] |
j |
187134338621059642718641/89403876562500 |
j-invariant |
L |
6.3579400573813 |
L(r)(E,1)/r! |
Ω |
0.14449863766776 |
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 |
77520bu1 29070j1 48450g1 |
Quadratic twists by: -4 -3 5 |