Atkin-Lehner |
2- 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52080bs |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
365843251200 = 216 · 3 · 52 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3174416,-2177985516] |
[a1,a2,a3,a4,a6] |
j |
863685084022485007249/89317200 |
j-invariant |
L |
3.6193748287613 |
L(r)(E,1)/r! |
Ω |
0.11310546340047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510o3 |
Quadratic twists by: -4 |