Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22320by |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-22238862336000000 = -1 · 216 · 36 · 56 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,65373,3176354] |
[a1,a2,a3,a4,a6] |
j |
10347405816671/7447750000 |
j-invariant |
L |
2.908272249867 |
L(r)(E,1)/r! |
Ω |
0.24235602082225 |
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 |
2790m3 89280ej3 2480i3 111600el3 |
Quadratic twists by: -4 8 -3 5 |