Atkin-Lehner |
2- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
67280l |
Isogeny class |
Conductor |
67280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
353277466808320 = 212 · 5 · 297 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 -6 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36163,-2487678] |
[a1,a2,a3,a4,a6] |
j |
2146689/145 |
j-invariant |
L |
0.69535089731824 |
L(r)(E,1)/r! |
Ω |
0.347675449531 |
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 |
4205a1 2320f1 |
Quadratic twists by: -4 29 |