Atkin-Lehner |
2+ 3- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
64386j |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
9809156853358758 = 2 · 37 · 78 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 -3 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1151901,476115079] |
[a1,a2,a3,a4,a6] |
j |
40221433203217/2334102 |
j-invariant |
L |
1.5458265831909 |
L(r)(E,1)/r! |
Ω |
0.38645664744101 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21462u1 64386t1 |
Quadratic twists by: -3 -7 |