Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3264l |
Isogeny class |
Conductor |
3264 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-49340399616 = -1 · 214 · 311 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 1 4 -3 -3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6485,-203469] |
[a1,a2,a3,a4,a6] |
j |
-1841198792704/3011499 |
j-invariant |
L |
2.925745812422 |
L(r)(E,1)/r! |
Ω |
0.26597689203836 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3264q1 204a1 9792w1 81600bk1 |
Quadratic twists by: -4 8 -3 5 |