Atkin-Lehner |
2+ 11- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8866g |
Isogeny class |
Conductor |
8866 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
927360 |
Modular degree for the optimal curve |
Δ |
-3590091956926052864 = -1 · 29 · 112 · 137 · 314 |
Discriminant |
Eigenvalues |
2+ 3 3 -3 11- 13+ -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20911198,-36800704492] |
[a1,a2,a3,a4,a6] |
j |
-1011254498219607405613664697/3590091956926052864 |
j-invariant |
L |
3.5300002567888 |
L(r)(E,1)/r! |
Ω |
0.035300002567888 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70928h1 79794t1 97526bb1 115258n1 |
Quadratic twists by: -4 -3 -11 13 |