Atkin-Lehner |
3- 7+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44289c |
Isogeny class |
Conductor |
44289 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14848 |
Modular degree for the optimal curve |
Δ |
-10762227 = -1 · 37 · 7 · 19 · 37 |
Discriminant |
Eigenvalues |
2 3- 0 7+ -2 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-255,1575] |
[a1,a2,a3,a4,a6] |
j |
-2515456000/14763 |
j-invariant |
L |
4.5809568090652 |
L(r)(E,1)/r! |
Ω |
2.290478404538 |
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 |
14763f1 |
Quadratic twists by: -3 |