Atkin-Lehner |
2+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
80960bb |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
16779575296000000 = 224 · 56 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64012,-128016] |
[a1,a2,a3,a4,a6] |
j |
110654219664729/64009000000 |
j-invariant |
L |
1.9728435032043 |
L(r)(E,1)/r! |
Ω |
0.32880724124981 |
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 |
80960bu2 2530a2 |
Quadratic twists by: -4 8 |