Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
32160x |
Isogeny class |
Conductor |
32160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
5235969600 = 26 · 36 · 52 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6030,178200] |
[a1,a2,a3,a4,a6] |
j |
378937595364544/81812025 |
j-invariant |
L |
3.970282762463 |
L(r)(E,1)/r! |
Ω |
1.3234275874882 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32160s1 64320bu2 96480e1 |
Quadratic twists by: -4 8 -3 |