Atkin-Lehner |
2- 3+ 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
117300q |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
3164636700000000 = 28 · 32 · 58 · 172 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -5 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36708,-38088] |
[a1,a2,a3,a4,a6] |
j |
54703827280/31646367 |
j-invariant |
L |
1.5117671308782 |
L(r)(E,1)/r! |
Ω |
0.37794193647125 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117300y1 |
Quadratic twists by: 5 |