Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32368y |
Isogeny class |
Conductor |
32368 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-6.6644070869497E+23 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 0 5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3981168,-39156541036] |
[a1,a2,a3,a4,a6] |
Generators |
[10858:1133272:1] |
Generators of the group modulo torsion |
j |
845095823/80707214 |
j-invariant |
L |
5.5849869770672 |
L(r)(E,1)/r! |
Ω |
0.043130750248545 |
Real period |
R |
3.5969355099727 |
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 |
4046j2 129472dc2 32368q2 |
Quadratic twists by: -4 8 17 |