Atkin-Lehner |
5+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
28925d |
Isogeny class |
Conductor |
28925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
282470703125 = 512 · 13 · 89 |
Discriminant |
Eigenvalues |
-2 2 5+ 1 2 13- -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1658,5218] |
[a1,a2,a3,a4,a6] |
j |
32278933504/18078125 |
j-invariant |
L |
1.6866636542755 |
L(r)(E,1)/r! |
Ω |
0.84333182713749 |
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 |
5785a1 |
Quadratic twists by: 5 |