Atkin-Lehner |
2- 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
10086m |
Isogeny class |
Conductor |
10086 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
504000 |
Modular degree for the optimal curve |
Δ |
-1.5879731766348E+21 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 -2 1 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-294210,-1918360497] |
[a1,a2,a3,a4,a6] |
j |
-592915705201/334302806016 |
j-invariant |
L |
3.3779072298437 |
L(r)(E,1)/r! |
Ω |
0.067558144596875 |
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 |
80688x1 30258d1 246b1 |
Quadratic twists by: -4 -3 41 |