Atkin-Lehner |
3- 5- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
44175m |
Isogeny class |
Conductor |
44175 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
Δ |
-2331556720875 = -1 · 35 · 53 · 195 · 31 |
Discriminant |
Eigenvalues |
-2 3- 5- -2 -3 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-267148,53057764] |
[a1,a2,a3,a4,a6] |
Generators |
[-157:9547:1] |
Generators of the group modulo torsion |
j |
-16868291847035162624/18652453767 |
j-invariant |
L |
3.071297460255 |
L(r)(E,1)/r! |
Ω |
0.68925128141712 |
Real period |
R |
2.2279954662859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999999 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
44175f2 |
Quadratic twists by: 5 |