Atkin-Lehner |
2- 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
89298bv |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
6386688 |
Modular degree for the optimal curve |
Δ |
-5.527398383655E+21 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 11+ 6 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3956314,-1903801611] |
[a1,a2,a3,a4,a6] |
j |
3984138055477/3215578176 |
j-invariant |
L |
5.4093069004347 |
L(r)(E,1)/r! |
Ω |
0.075129263116566 |
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 |
29766a1 89298j1 |
Quadratic twists by: -3 -11 |