Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
5520u |
Isogeny class |
Conductor |
5520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1202856733916160000 = 213 · 3 · 54 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-413280,87734400] |
[a1,a2,a3,a4,a6] |
j |
1905890658841300321/293666194803750 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
690k5 22080cr6 16560bi5 27600ch6 |
Quadratic twists by: -4 8 -3 5 |