Atkin-Lehner |
2- 3- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6510z |
Isogeny class |
Conductor |
6510 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6538796919900 = 22 · 316 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-810270,280665000] |
[a1,a2,a3,a4,a6] |
j |
58831920326276935699681/6538796919900 |
j-invariant |
L |
4.6437687231495 |
L(r)(E,1)/r! |
Ω |
0.58047109039369 |
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 |
52080bp4 19530j3 32550k4 45570bs4 |
Quadratic twists by: -4 -3 5 -7 |