Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
5520u |
Isogeny class |
Conductor |
5520 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1983750000000000000 = -1 · 213 · 3 · 516 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,140640,-64699008] |
[a1,a2,a3,a4,a6] |
j |
75108181893694559/484313964843750 |
j-invariant |
L |
1.0476525084187 |
L(r)(E,1)/r! |
Ω |
0.13095656355233 |
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 |
690k6 22080cr5 16560bi6 27600ch5 |
Quadratic twists by: -4 8 -3 5 |