Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352y |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-158357362435227648 = -1 · 216 · 322 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19596,-19175056] |
[a1,a2,a3,a4,a6] |
j |
-17418812548/3314597517 |
j-invariant |
L |
1.154523811638 |
L(r)(E,1)/r! |
Ω |
0.14431547645191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352ey3 5544g4 14784i4 |
Quadratic twists by: -4 8 -3 |