Atkin-Lehner |
2- 3- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
32364j |
Isogeny class |
Conductor |
32364 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
66360 |
Modular degree for the optimal curve |
Δ |
-118664052800256 = -1 · 28 · 36 · 295 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 1 2 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3816,-531900] |
[a1,a2,a3,a4,a6] |
j |
-32929210368/635845619 |
j-invariant |
L |
0.76253948626728 |
L(r)(E,1)/r! |
Ω |
0.25417982875299 |
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 |
129456bh1 3596b1 |
Quadratic twists by: -4 -3 |