Atkin-Lehner |
2- 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8118p |
Isogeny class |
Conductor |
8118 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1025024 |
Modular degree for the optimal curve |
Δ |
-1341969532459776 = -1 · 28 · 38 · 117 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 5 11- -6 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-86781029,-311139409251] |
[a1,a2,a3,a4,a6] |
j |
-99144942546405114122445577/1840836121344 |
j-invariant |
L |
2.7700102953297 |
L(r)(E,1)/r! |
Ω |
0.024732234779729 |
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 |
64944bc1 2706b1 89298bi1 |
Quadratic twists by: -4 -3 -11 |