Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
8400cf |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
571536000000000000 = 216 · 36 · 512 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-231008,-22512012] |
[a1,a2,a3,a4,a6] |
j |
21302308926361/8930250000 |
j-invariant |
L |
2.7125300609339 |
L(r)(E,1)/r! |
Ω |
0.22604417174449 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1050k2 33600ey2 25200eg2 1680m2 |
Quadratic twists by: -4 8 -3 5 |