Atkin-Lehner |
2- 5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65450bg |
Isogeny class |
Conductor |
65450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
595200 |
Modular degree for the optimal curve |
Δ |
-581051587193000 = -1 · 23 · 53 · 710 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3 5- 7+ 11- -3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18300,656527] |
[a1,a2,a3,a4,a6] |
j |
5422370850336987/4648412697544 |
j-invariant |
L |
8.0501780031713 |
L(r)(E,1)/r! |
Ω |
0.33542408402315 |
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 |
65450r1 |
Quadratic twists by: 5 |