Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5712m |
Isogeny class |
Conductor |
5712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-999644568907063296 = -1 · 213 · 3 · 73 · 179 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ -3 5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6107232,5811414144] |
[a1,a2,a3,a4,a6] |
j |
-6150311179917589675873/244053849830826 |
j-invariant |
L |
0.52097696913517 |
L(r)(E,1)/r! |
Ω |
0.26048848456758 |
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 |
714i3 22848cl3 17136bf3 39984dt3 |
Quadratic twists by: -4 8 -3 -7 |