Atkin-Lehner |
2- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
27040x |
Isogeny class |
Conductor |
27040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
703040 = 26 · 5 · 133 |
Discriminant |
Eigenvalues |
2- -2 5- 4 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30,40] |
[a1,a2,a3,a4,a6] |
j |
21952/5 |
j-invariant |
L |
2.693692074739 |
L(r)(E,1)/r! |
Ω |
2.6936920747393 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27040w1 54080cq1 27040g1 |
Quadratic twists by: -4 8 13 |