Atkin-Lehner |
2- 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
51442c |
Isogeny class |
Conductor |
51442 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-19728168322112 = -1 · 26 · 173 · 894 |
Discriminant |
Eigenvalues |
2- 0 4 4 0 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2997,-204901] |
[a1,a2,a3,a4,a6] |
j |
606140108847/4015503424 |
j-invariant |
L |
8.2010437420579 |
L(r)(E,1)/r! |
Ω |
0.34171015591584 |
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 |
51442d2 |
Quadratic twists by: 17 |