Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160hx |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
2365440 |
Modular degree for the optimal curve |
Δ |
307234650683473920 = 217 · 37 · 5 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11- 5 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2575041,-1591100865] |
[a1,a2,a3,a4,a6] |
j |
67208610722/10935 |
j-invariant |
L |
5.0056102931201 |
L(r)(E,1)/r! |
Ω |
0.11918119718346 |
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 |
116160y1 29040r1 116160hz1 |
Quadratic twists by: -4 8 -11 |