Atkin-Lehner |
2- 5- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44950r |
Isogeny class |
Conductor |
44950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
52320 |
Modular degree for the optimal curve |
Δ |
-635845619000 = -1 · 23 · 53 · 295 · 31 |
Discriminant |
Eigenvalues |
2- -1 5- -2 2 4 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,647,-37569] |
[a1,a2,a3,a4,a6] |
j |
239598771931/5086764952 |
j-invariant |
L |
2.6566836065759 |
L(r)(E,1)/r! |
Ω |
0.44278060114929 |
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 |
44950d1 |
Quadratic twists by: 5 |