Atkin-Lehner |
2- 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10868a |
Isogeny class |
Conductor |
10868 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3552 |
Modular degree for the optimal curve |
Δ |
-57861232 = -1 · 24 · 114 · 13 · 19 |
Discriminant |
Eigenvalues |
2- -2 4 -2 11+ 13+ 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-66,-443] |
[a1,a2,a3,a4,a6] |
j |
-2017433344/3616327 |
j-invariant |
L |
1.5782430232523 |
L(r)(E,1)/r! |
Ω |
0.78912151162614 |
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 |
43472t1 97812l1 119548o1 |
Quadratic twists by: -4 -3 -11 |