Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53280bt |
Isogeny class |
Conductor |
53280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
215784000 = 26 · 36 · 53 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55497,-5032136] |
[a1,a2,a3,a4,a6] |
j |
405158291551936/4625 |
j-invariant |
L |
3.7326169526914 |
L(r)(E,1)/r! |
Ω |
0.31105141275917 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53280bu1 106560ey2 5920c1 |
Quadratic twists by: -4 8 -3 |