Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160ej |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-150543360 = -1 · 210 · 35 · 5 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- -4 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15,-585] |
[a1,a2,a3,a4,a6] |
j |
2816/1215 |
j-invariant |
L |
4.2822770630946 |
L(r)(E,1)/r! |
Ω |
0.85645558779868 |
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 |
116160gu1 14520d1 116160ek1 |
Quadratic twists by: -4 8 -11 |