Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5096k |
Isogeny class |
Conductor |
5096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-134296804096 = -1 · 28 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 2 1 7- 4 13- 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,-17611] |
[a1,a2,a3,a4,a6] |
j |
-1024/4459 |
j-invariant |
L |
3.770722984851 |
L(r)(E,1)/r! |
Ω |
0.47134037310637 |
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 |
10192k1 40768x1 45864s1 127400f1 |
Quadratic twists by: -4 8 -3 5 |