Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544ef |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
2608148955267072 = 232 · 36 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 6 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34572,290320] |
[a1,a2,a3,a4,a6] |
j |
23912763841/13647872 |
j-invariant |
L |
1.5637452180208 |
L(r)(E,1)/r! |
Ω |
0.3909363028571 |
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 |
68544cs1 17136bh1 7616h1 |
Quadratic twists by: -4 8 -3 |