Atkin-Lehner |
2- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32912q |
Isogeny class |
Conductor |
32912 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-26784575488 = -1 · 212 · 113 · 173 |
Discriminant |
Eigenvalues |
2- -2 0 3 11+ 6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,587,-5469] |
[a1,a2,a3,a4,a6] |
j |
4096000/4913 |
j-invariant |
L |
1.2746930736111 |
L(r)(E,1)/r! |
Ω |
0.63734653680256 |
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 |
2057a1 32912s1 |
Quadratic twists by: -4 -11 |