Atkin-Lehner |
2- 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424cm |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
672109908081251328 = 210 · 318 · 13 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 -2 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2232653,-1282694259] |
[a1,a2,a3,a4,a6] |
j |
1201953427358681344000/656357332110597 |
j-invariant |
L |
0.494047216215 |
L(r)(E,1)/r! |
Ω |
0.12351180408756 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47424bo1 11856h1 |
Quadratic twists by: -4 8 |