Atkin-Lehner |
2+ 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
124872k |
Isogeny class |
Conductor |
124872 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
14598144 |
Modular degree for the optimal curve |
Δ |
1.5940963686295E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 -1 11+ 2 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-269058544,-1698794894095] |
[a1,a2,a3,a4,a6] |
j |
57096557954974798592/42253279587 |
j-invariant |
L |
1.7892815134543 |
L(r)(E,1)/r! |
Ω |
0.037276735910041 |
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 |
124872be1 |
Quadratic twists by: -11 |