Atkin-Lehner |
3- 5- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
65565l |
Isogeny class |
Conductor |
65565 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
66624 |
Modular degree for the optimal curve |
Δ |
-164633715 = -1 · 36 · 5 · 312 · 47 |
Discriminant |
Eigenvalues |
2 3- 5- 0 -2 -5 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2847,-58473] |
[a1,a2,a3,a4,a6] |
j |
-3500729749504/225835 |
j-invariant |
L |
5.2286671206355 |
L(r)(E,1)/r! |
Ω |
0.32679169525709 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7285b1 |
Quadratic twists by: -3 |