Atkin-Lehner |
2- 3+ 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
78384x |
Isogeny class |
Conductor |
78384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
120419771259138048 = 212 · 37 · 232 · 714 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 -4 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-147976,-14138192] |
[a1,a2,a3,a4,a6] |
j |
87486400746254089/29399358217563 |
j-invariant |
L |
4.0002345979572 |
L(r)(E,1)/r! |
Ω |
0.2500146630545 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4899a2 |
Quadratic twists by: -4 |