Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3264w |
Isogeny class |
Conductor |
3264 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3068264448 = -1 · 217 · 34 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,2655] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:48:1] |
Generators of the group modulo torsion |
j |
-31250/23409 |
j-invariant |
L |
3.8508743221537 |
L(r)(E,1)/r! |
Ω |
1.1498007167549 |
Real period |
R |
0.41864584293158 |
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 |
3264b2 816a2 9792bv2 81600gj2 |
Quadratic twists by: -4 8 -3 5 |