Atkin-Lehner |
2- 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
5766g |
Isogeny class |
Conductor |
5766 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-152450861378428986 = -1 · 2 · 3 · 3111 |
Discriminant |
Eigenvalues |
2- 3+ 1 -2 3 1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1340615,597190343] |
[a1,a2,a3,a4,a6] |
Generators |
[5761220:16509331:8000] |
Generators of the group modulo torsion |
j |
-300238092661681/171774906 |
j-invariant |
L |
5.1299765409623 |
L(r)(E,1)/r! |
Ω |
0.32097135932127 |
Real period |
R |
3.9956653389654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46128x2 17298g2 186b2 |
Quadratic twists by: -4 -3 -31 |