Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352bk |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9461375716294656 = 219 · 314 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23182284,-42961797520] |
[a1,a2,a3,a4,a6] |
Generators |
[-136038780810775945430:499524870376104489:48935524432033000] |
Generators of the group modulo torsion |
j |
7209828390823479793/49509306 |
j-invariant |
L |
7.2416131887125 |
L(r)(E,1)/r! |
Ω |
0.068803494966203 |
Real period |
R |
26.312664757333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352ej4 1386b3 14784d4 |
Quadratic twists by: -4 8 -3 |