Atkin-Lehner |
2- 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
52560w |
Isogeny class |
Conductor |
52560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-919589760000000 = -1 · 213 · 39 · 57 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -2 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21237,-842438] |
[a1,a2,a3,a4,a6] |
j |
354744554039/307968750 |
j-invariant |
L |
2.1909591048918 |
L(r)(E,1)/r! |
Ω |
0.27386988812218 |
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 |
6570u1 17520y1 |
Quadratic twists by: -4 -3 |