Atkin-Lehner |
2- 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39780o |
Isogeny class |
Conductor |
39780 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
89044725191760 = 24 · 318 · 5 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 6 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40908,3152113] |
[a1,a2,a3,a4,a6] |
j |
649084058484736/7634149965 |
j-invariant |
L |
3.638415474464 |
L(r)(E,1)/r! |
Ω |
0.60640257907222 |
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 |
13260m1 |
Quadratic twists by: -3 |