Atkin-Lehner |
2+ 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32560f |
Isogeny class |
Conductor |
32560 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-13024000 = -1 · 28 · 53 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5- 5 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28,-164] |
[a1,a2,a3,a4,a6] |
j |
9483264/50875 |
j-invariant |
L |
3.3769728940948 |
L(r)(E,1)/r! |
Ω |
1.1256576313649 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16280f1 |
Quadratic twists by: -4 |