Atkin-Lehner |
2- 7+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
89488d |
Isogeny class |
Conductor |
89488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-2726162432 = -1 · 212 · 72 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 4 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-619,-6438] |
[a1,a2,a3,a4,a6] |
j |
-6403769793/665567 |
j-invariant |
L |
1.9030975125783 |
L(r)(E,1)/r! |
Ω |
0.47577434202587 |
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 |
5593b1 |
Quadratic twists by: -4 |