Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
10608ba |
Isogeny class |
Conductor |
10608 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
379325794258944 = 212 · 38 · 132 · 174 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22224,857556] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:1440:1] |
Generators of the group modulo torsion |
j |
296380748763217/92608836489 |
j-invariant |
L |
4.6111305037612 |
L(r)(E,1)/r! |
Ω |
0.49541392573525 |
Real period |
R |
2.3269079976495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
663b3 42432bl4 31824bk4 |
Quadratic twists by: -4 8 -3 |