Atkin-Lehner |
2- 3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
38064bc |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
42008520718614528 = 216 · 314 · 133 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 0 4 13+ 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-91328,-3981516] |
[a1,a2,a3,a4,a6] |
j |
20567445764946625/10255986503568 |
j-invariant |
L |
4.0486417619455 |
L(r)(E,1)/r! |
Ω |
0.289188697284 |
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 |
4758f1 114192bn1 |
Quadratic twists by: -4 -3 |