Atkin-Lehner |
2- 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
50512g |
Isogeny class |
Conductor |
50512 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
137248251650048 = 213 · 72 · 112 · 414 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11- 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16728,618608] |
[a1,a2,a3,a4,a6] |
j |
126392640081625/33507873938 |
j-invariant |
L |
4.35639346619 |
L(r)(E,1)/r! |
Ω |
0.54454918328661 |
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 |
6314e2 |
Quadratic twists by: -4 |