Atkin-Lehner |
13+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
116909d |
Isogeny class |
Conductor |
116909 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11975040 |
Modular degree for the optimal curve |
Δ |
-5.1874516671743E+23 |
Discriminant |
Eigenvalues |
-2 0 -2 0 0 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-21550931,-51803852620] |
[a1,a2,a3,a4,a6] |
j |
-7477472169133314048/3504185169026347 |
j-invariant |
L |
0.13705721632979 |
L(r)(E,1)/r! |
Ω |
0.034264466200966 |
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 |
5083b1 |
Quadratic twists by: -23 |