Atkin-Lehner |
5- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
80465n |
Isogeny class |
Conductor |
80465 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
2087054870519465 = 5 · 7 · 1112 · 19 |
Discriminant |
Eigenvalues |
-1 2 5- 7+ 11- 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-55360,4482952] |
[a1,a2,a3,a4,a6] |
j |
10591472326681/1178088065 |
j-invariant |
L |
1.7990925805743 |
L(r)(E,1)/r! |
Ω |
0.44977315480586 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7315d1 |
Quadratic twists by: -11 |