Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3264o |
Isogeny class |
Conductor |
3264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
160432128 = 220 · 32 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161,447] |
[a1,a2,a3,a4,a6] |
j |
1771561/612 |
j-invariant |
L |
3.3431045701527 |
L(r)(E,1)/r! |
Ω |
1.6715522850764 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3264t1 102a1 9792bb1 81600bb1 |
Quadratic twists by: -4 8 -3 5 |