Atkin-Lehner |
2- 3+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
47850ch |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
993600 |
Modular degree for the optimal curve |
Δ |
-2511550800000000 = -1 · 210 · 39 · 58 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 11+ 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-713763,231817281] |
[a1,a2,a3,a4,a6] |
j |
-102949871597820625/6429570048 |
j-invariant |
L |
4.3365755382785 |
L(r)(E,1)/r! |
Ω |
0.43365755376539 |
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 |
47850bj1 |
Quadratic twists by: 5 |