Atkin-Lehner |
2+ 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5568b |
Isogeny class |
Conductor |
5568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-27131709450878976 = -1 · 219 · 3 · 297 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 2 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-416705,-103700031] |
[a1,a2,a3,a4,a6] |
Generators |
[1268295:75847584:343] |
Generators of the group modulo torsion |
j |
-30526075007211889/103499257854 |
j-invariant |
L |
3.738788433212 |
L(r)(E,1)/r! |
Ω |
0.093934285053034 |
Real period |
R |
9.9505426349418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5568bc2 174b2 16704bh2 |
Quadratic twists by: -4 8 -3 |