Atkin-Lehner |
2- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
82880x |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-4243456000000000 = -1 · 223 · 59 · 7 · 37 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 6 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-179361,-29464865] |
[a1,a2,a3,a4,a6] |
j |
-2434278488702761/16187500000 |
j-invariant |
L |
0.23189682492854 |
L(r)(E,1)/r! |
Ω |
0.11594841045261 |
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 |
82880j1 20720n1 |
Quadratic twists by: -4 8 |