Atkin-Lehner |
2- 3- 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
116688v |
Isogeny class |
Conductor |
116688 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
5617920 |
Modular degree for the optimal curve |
Δ |
-1.3372861141546E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 1 11+ 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5802904,-5662720108] |
[a1,a2,a3,a4,a6] |
j |
-5275941807135921123097/326485867713527808 |
j-invariant |
L |
0.67847400699715 |
L(r)(E,1)/r! |
Ω |
0.048462452831126 |
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 |
14586a1 |
Quadratic twists by: -4 |