Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400v |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5186160000000 = 210 · 33 · 57 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72408,-7522812] |
[a1,a2,a3,a4,a6] |
j |
2624033547076/324135 |
j-invariant |
L |
3.4925037569884 |
L(r)(E,1)/r! |
Ω |
0.29104197974904 |
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 |
4200e3 33600es4 25200bg4 1680c3 |
Quadratic twists by: -4 8 -3 5 |