Atkin-Lehner |
2+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
21344b |
Isogeny class |
Conductor |
21344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-2732032 = -1 · 212 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 0 4 2 4 -1 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8,80] |
[a1,a2,a3,a4,a6] |
j |
-13824/667 |
j-invariant |
L |
4.236120987361 |
L(r)(E,1)/r! |
Ω |
2.1180604936805 |
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 |
21344f1 42688a1 |
Quadratic twists by: -4 8 |