Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
5520u |
Isogeny class |
Conductor |
5520 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
16118841600000000 = 214 · 32 · 58 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-113280,-13305600] |
[a1,a2,a3,a4,a6] |
j |
39248884582600321/3935264062500 |
j-invariant |
L |
1.0476525084187 |
L(r)(E,1)/r! |
Ω |
0.26191312710467 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
690k3 22080cr3 16560bi3 27600ch3 |
Quadratic twists by: -4 8 -3 5 |