Atkin-Lehner |
5+ 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
44075d |
Isogeny class |
Conductor |
44075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
1244481728515625 = 510 · 413 · 432 |
Discriminant |
Eigenvalues |
-1 2 5+ -2 0 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-26938,-134594] |
[a1,a2,a3,a4,a6] |
j |
138356873478361/79646830625 |
j-invariant |
L |
0.8111296571131 |
L(r)(E,1)/r! |
Ω |
0.40556482838384 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8815a1 |
Quadratic twists by: 5 |