Atkin-Lehner |
3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
16641j |
Isogeny class |
Conductor |
16641 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6211588843728553041 = 312 · 438 |
Discriminant |
Eigenvalues |
1 3- 2 0 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-491256,-56314733] |
[a1,a2,a3,a4,a6] |
Generators |
[9145745080547366769002514:212000320562507570506319503:8548435210553392156696] |
Generators of the group modulo torsion |
j |
2845178713/1347921 |
j-invariant |
L |
6.6650410084027 |
L(r)(E,1)/r! |
Ω |
0.18890326119083 |
Real period |
R |
35.282826598052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5547a2 387d2 |
Quadratic twists by: -3 -43 |