Atkin-Lehner |
2- 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
8118l |
Isogeny class |
Conductor |
8118 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-4970002219776 = -1 · 28 · 316 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 3 11+ -2 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4307,-151693] |
[a1,a2,a3,a4,a6] |
j |
-12117869279209/6817561344 |
j-invariant |
L |
4.5949088920269 |
L(r)(E,1)/r! |
Ω |
0.28718180575168 |
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 |
64944bs1 2706h1 89298r1 |
Quadratic twists by: -4 -3 -11 |