Atkin-Lehner |
2- 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
8118m |
Isogeny class |
Conductor |
8118 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
130196484 = 22 · 38 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11+ 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8366,296601] |
[a1,a2,a3,a4,a6] |
j |
88818021833113/178596 |
j-invariant |
L |
3.181932357481 |
L(r)(E,1)/r! |
Ω |
1.5909661787405 |
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 |
64944bu1 2706c1 89298x1 |
Quadratic twists by: -4 -3 -11 |