Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160hp |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-58849285877268480 = -1 · 226 · 32 · 5 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,38559,11314719] |
[a1,a2,a3,a4,a6] |
j |
13651919/126720 |
j-invariant |
L |
2.0628181039231 |
L(r)(E,1)/r! |
Ω |
0.25785230112523 |
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 |
116160p1 29040co1 10560cb1 |
Quadratic twists by: -4 8 -11 |