Atkin-Lehner |
5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
16225b |
Isogeny class |
Conductor |
16225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
158447265625 = 512 · 11 · 59 |
Discriminant |
Eigenvalues |
-1 0 5+ 2 11- 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1380,-4378] |
[a1,a2,a3,a4,a6] |
j |
18588565449/10140625 |
j-invariant |
L |
0.83623212035593 |
L(r)(E,1)/r! |
Ω |
0.83623212035593 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3245b1 |
Quadratic twists by: 5 |