Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680dw |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-10510663680 = -1 · 218 · 36 · 5 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,468,3024] |
[a1,a2,a3,a4,a6] |
Generators |
[250:3968:1] |
Generators of the group modulo torsion |
j |
59319/55 |
j-invariant |
L |
5.8588279646211 |
L(r)(E,1)/r! |
Ω |
0.83990542047291 |
Real period |
R |
3.487790304605 |
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 |
31680bh1 7920y1 3520o1 |
Quadratic twists by: -4 8 -3 |