Atkin-Lehner |
3- 5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44175j |
Isogeny class |
Conductor |
44175 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1542207919921875 = 32 · 510 · 19 · 314 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35313,1715742] |
[a1,a2,a3,a4,a6] |
Generators |
[-193:1259:1] |
Generators of the group modulo torsion |
j |
311679542723401/98701306875 |
j-invariant |
L |
5.3628625396565 |
L(r)(E,1)/r! |
Ω |
0.44037983559995 |
Real period |
R |
1.5222264128973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8835d3 |
Quadratic twists by: 5 |