Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3264x |
Isogeny class |
Conductor |
3264 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
207920037888 = 224 · 36 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16353,-810081] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:12:1] |
Generators of the group modulo torsion |
j |
1845026709625/793152 |
j-invariant |
L |
3.8377747567711 |
L(r)(E,1)/r! |
Ω |
0.42219121019713 |
Real period |
R |
1.5150223658845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3264a1 816e1 9792bw1 81600gk1 |
Quadratic twists by: -4 8 -3 5 |