Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
16758x |
Isogeny class |
Conductor |
16758 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-25870835802924 = -1 · 22 · 310 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 5 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7267,-56815] |
[a1,a2,a3,a4,a6] |
j |
10100279/6156 |
j-invariant |
L |
4.6581561396814 |
L(r)(E,1)/r! |
Ω |
0.38817967830678 |
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 |
5586o1 16758bf1 |
Quadratic twists by: -3 -7 |