Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17248z |
Isogeny class |
Conductor |
17248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
32467359232 = 29 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 0 0 7- 11+ 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5635,-162582] |
[a1,a2,a3,a4,a6] |
Generators |
[11570:41238:125] |
Generators of the group modulo torsion |
j |
328509000/539 |
j-invariant |
L |
4.4807063010663 |
L(r)(E,1)/r! |
Ω |
0.5510853590724 |
Real period |
R |
8.1306937796501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17248o2 34496bb2 2464l2 |
Quadratic twists by: -4 8 -7 |