Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8736l |
Isogeny class |
Conductor |
8736 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18240 |
Modular degree for the optimal curve |
Δ |
-54152086270464 = -1 · 29 · 319 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 1 13+ -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12696,658872] |
[a1,a2,a3,a4,a6] |
j |
-442067613591752/105765793497 |
j-invariant |
L |
0.6003999153917 |
L(r)(E,1)/r! |
Ω |
0.6003999153917 |
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 |
8736h1 17472z1 26208h1 61152bz1 |
Quadratic twists by: -4 8 -3 -7 |