Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8280w |
Isogeny class |
Conductor |
8280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4828896000000 = 211 · 38 · 56 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 6 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7707,-237994] |
[a1,a2,a3,a4,a6] |
j |
33909572018/3234375 |
j-invariant |
L |
3.0759569684287 |
L(r)(E,1)/r! |
Ω |
0.51265949473812 |
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 |
16560w2 66240bn2 2760b2 41400p2 |
Quadratic twists by: -4 8 -3 5 |