Atkin-Lehner |
2- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128576ck |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.4212028631932E+19 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 0 2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7321057,-7619857279] |
[a1,a2,a3,a4,a6] |
Generators |
[69389:18264064:1] |
Generators of the group modulo torsion |
j |
1407074115849193/460816384 |
j-invariant |
L |
4.5313958602855 |
L(r)(E,1)/r! |
Ω |
0.091783504991698 |
Real period |
R |
3.0856550815814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576p2 32144o2 18368w2 |
Quadratic twists by: -4 8 -7 |