Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160eh |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-40408597785600 = -1 · 210 · 34 · 52 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5485,-345325] |
[a1,a2,a3,a4,a6] |
j |
-10061824/22275 |
j-invariant |
L |
4.1538600686255 |
L(r)(E,1)/r! |
Ω |
0.25961624587205 |
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 |
116160gs1 14520e1 10560bb1 |
Quadratic twists by: -4 8 -11 |