Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8670z |
Isogeny class |
Conductor |
8670 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
269280 |
Modular degree for the optimal curve |
Δ |
-154828331554483200 = -1 · 210 · 3 · 52 · 1710 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 6 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3342580,2351979152] |
[a1,a2,a3,a4,a6] |
j |
-2048707405729/76800 |
j-invariant |
L |
6.0772420862057 |
L(r)(E,1)/r! |
Ω |
0.30386210431029 |
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 |
69360cq1 26010k1 43350e1 8670p1 |
Quadratic twists by: -4 -3 5 17 |