Atkin-Lehner |
3- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8673f |
Isogeny class |
Conductor |
8673 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-27549983979 = -1 · 34 · 78 · 59 |
Discriminant |
Eigenvalues |
-1 3- 3 7+ 4 2 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,636,-5013] |
[a1,a2,a3,a4,a6] |
j |
4934783/4779 |
j-invariant |
L |
2.5843552310586 |
L(r)(E,1)/r! |
Ω |
0.64608880776465 |
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 |
26019e1 8673d1 |
Quadratic twists by: -3 -7 |