Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8670y |
Isogeny class |
Conductor |
8670 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
23760 |
Modular degree for the optimal curve |
Δ |
-682606440 = -1 · 23 · 310 · 5 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -5 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-52740,-4666248] |
[a1,a2,a3,a4,a6] |
j |
-56136684668636449/2361960 |
j-invariant |
L |
4.7255867308997 |
L(r)(E,1)/r! |
Ω |
0.15751955769666 |
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 |
69360cp1 26010j1 43350d1 8670o1 |
Quadratic twists by: -4 -3 5 17 |