Atkin-Lehner |
2+ 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
87840u |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1499964272640 = 212 · 39 · 5 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7212,-228256] |
[a1,a2,a3,a4,a6] |
j |
13893235264/502335 |
j-invariant |
L |
4.1537477188254 |
L(r)(E,1)/r! |
Ω |
0.51921845950224 |
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 |
87840bu2 29280r2 |
Quadratic twists by: -4 -3 |