Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3360f |
Isogeny class |
Conductor |
3360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
7875000000000 = 29 · 32 · 512 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5880,-107100] |
[a1,a2,a3,a4,a6] |
j |
43919722445768/15380859375 |
j-invariant |
L |
1.6825987141939 |
L(r)(E,1)/r! |
Ω |
0.56086623806464 |
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 |
3360z2 6720r4 10080bn2 16800by3 |
Quadratic twists by: -4 8 -3 5 |