Atkin-Lehner |
2- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32110y |
Isogeny class |
Conductor |
32110 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
102752000 = 28 · 53 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 3 0 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2242,41409] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-9:1] |
Generators of the group modulo torsion |
j |
7371607749129/608000 |
j-invariant |
L |
10.014954937152 |
L(r)(E,1)/r! |
Ω |
1.8011494391449 |
Real period |
R |
0.23167971517461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32110c1 |
Quadratic twists by: 13 |