Atkin-Lehner |
2+ 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552w |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-89993014272 = -1 · 210 · 32 · 76 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 0 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,539,-13787] |
[a1,a2,a3,a4,a6] |
j |
16880451584/87883803 |
j-invariant |
L |
3.2359888247975 |
L(r)(E,1)/r! |
Ω |
0.53933152789395 |
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 |
111552dg1 6972f1 |
Quadratic twists by: -4 8 |