Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
840j |
Isogeny class |
Conductor |
840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
322560 = 210 · 32 · 5 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6720,209808] |
[a1,a2,a3,a4,a6] |
j |
32779037733124/315 |
j-invariant |
L |
2.128934407385 |
L(r)(E,1)/r! |
Ω |
2.128934407385 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1680d3 6720e4 2520f3 4200d4 |
Quadratic twists by: -4 8 -3 5 |