Atkin-Lehner |
2- 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
8118n |
Isogeny class |
Conductor |
8118 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
3945348 = 22 · 37 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 4 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-248,1559] |
[a1,a2,a3,a4,a6] |
j |
2305199161/5412 |
j-invariant |
L |
4.9653549905723 |
L(r)(E,1)/r! |
Ω |
2.4826774952861 |
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 |
64944bx1 2706i1 89298ba1 |
Quadratic twists by: -4 -3 -11 |