Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3264z |
Isogeny class |
Conductor |
3264 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-29376 = -1 · 26 · 33 · 17 |
Discriminant |
Eigenvalues |
2- 3- -3 4 -3 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3,9] |
[a1,a2,a3,a4,a6] |
Generators |
[0:3:1] |
Generators of the group modulo torsion |
j |
32768/459 |
j-invariant |
L |
3.7322883390009 |
L(r)(E,1)/r! |
Ω |
2.7615027451736 |
Real period |
R |
0.45051416848116 |
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 |
3264e1 816f1 9792cc1 81600gt1 |
Quadratic twists by: -4 8 -3 5 |