Atkin-Lehner |
3- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16965i |
Isogeny class |
Conductor |
16965 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
325574042625 = 312 · 53 · 132 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-83738183,-294918885394] |
[a1,a2,a3,a4,a6] |
Generators |
[300139044032078266:19203199951682045968:23756233588723] |
Generators of the group modulo torsion |
j |
89077245323151497432103721/446603625 |
j-invariant |
L |
2.8990074486739 |
L(r)(E,1)/r! |
Ω |
0.049907828244757 |
Real period |
R |
29.04361450529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5655h1 84825l1 |
Quadratic twists by: -3 5 |