Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
5712s |
Isogeny class |
Conductor |
5712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4176248832 = 215 · 32 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 2 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6104,-185580] |
[a1,a2,a3,a4,a6] |
j |
6141556990297/1019592 |
j-invariant |
L |
2.1605002070081 |
L(r)(E,1)/r! |
Ω |
0.54012505175204 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
714d2 22848bw2 17136x2 39984bt2 |
Quadratic twists by: -4 8 -3 -7 |