Atkin-Lehner |
3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
13923k |
Isogeny class |
Conductor |
13923 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
-29160567891 = -1 · 38 · 7 · 133 · 172 |
Discriminant |
Eigenvalues |
2 3- -3 7- 6 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-129,8235] |
[a1,a2,a3,a4,a6] |
j |
-325660672/40000779 |
j-invariant |
L |
3.8671747164251 |
L(r)(E,1)/r! |
Ω |
0.96679367910628 |
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 |
4641f1 97461s1 |
Quadratic twists by: -3 -7 |