Atkin-Lehner |
2- 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
85514p |
Isogeny class |
Conductor |
85514 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
deg |
63141120 |
Modular degree for the optimal curve |
Δ |
-6.2085346960135E+28 |
Discriminant |
Eigenvalues |
2- 0 0 0 11- 13+ 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,906121860,-5787901914817] |
[a1,a2,a3,a4,a6] |
j |
17046036816896319542166375/12862606943870064263168 |
j-invariant |
L |
3.5223722036098 |
L(r)(E,1)/r! |
Ω |
0.019568734264926 |
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 |
6578a1 |
Quadratic twists by: 13 |