Atkin-Lehner |
3- 5- 29+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
56115n |
Isogeny class |
Conductor |
56115 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1072528776901125 = -1 · 38 · 53 · 294 · 432 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 -2 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14342,-1705134] |
[a1,a2,a3,a4,a6] |
j |
-447504028518169/1471232890125 |
j-invariant |
L |
2.4099659732227 |
L(r)(E,1)/r! |
Ω |
0.20083049789424 |
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 |
18705a2 |
Quadratic twists by: -3 |