Atkin-Lehner |
3- 7- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
50337o |
Isogeny class |
Conductor |
50337 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5019217921220643 = 37 · 7 · 178 · 47 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-63036,-5032935] |
[a1,a2,a3,a4,a6] |
j |
37998460338181057/6885072594267 |
j-invariant |
L |
4.8809368348619 |
L(r)(E,1)/r! |
Ω |
0.30505855221952 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16779m4 |
Quadratic twists by: -3 |