Atkin-Lehner |
2- 3+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
44856d |
Isogeny class |
Conductor |
44856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
271872 |
Modular degree for the optimal curve |
Δ |
-8528908157344512 = -1 · 28 · 39 · 74 · 893 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 2 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40284,-5424732] |
[a1,a2,a3,a4,a6] |
j |
-1434796194816/1692630569 |
j-invariant |
L |
1.2894745104917 |
L(r)(E,1)/r! |
Ω |
0.16118431383341 |
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 |
89712a1 44856a1 |
Quadratic twists by: -4 -3 |