Atkin-Lehner |
2- 3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
85440br |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-717531955200 = -1 · 214 · 39 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5445,-161757] |
[a1,a2,a3,a4,a6] |
j |
-1089876235264/43794675 |
j-invariant |
L |
4.9901606286835 |
L(r)(E,1)/r! |
Ω |
0.27723114652572 |
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 |
85440i1 21360b1 |
Quadratic twists by: -4 8 |