Atkin-Lehner |
2- 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
67680x |
Isogeny class |
Conductor |
67680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
71935853760000 = 29 · 314 · 54 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10587,96334] |
[a1,a2,a3,a4,a6] |
j |
351596839112/192729375 |
j-invariant |
L |
4.2792612803277 |
L(r)(E,1)/r! |
Ω |
0.53490765920374 |
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 |
67680m3 22560d3 |
Quadratic twists by: -4 -3 |