Atkin-Lehner |
2+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
82880j |
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 |
0.88030713712563 |
L(r)(E,1)/r! |
Ω |
0.44015354721034 |
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 |
82880x1 2590c1 |
Quadratic twists by: -4 8 |