Atkin-Lehner |
2- 3- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
51792l |
Isogeny class |
Conductor |
51792 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2785536 |
Modular degree for the optimal curve |
Δ |
-4.3307361684702E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 5 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17576120,-28369350828] |
[a1,a2,a3,a4,a6] |
j |
-146599610355035416109881/10573086348804096 |
j-invariant |
L |
1.7696124409075 |
L(r)(E,1)/r! |
Ω |
0.036866925849087 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6474a1 |
Quadratic twists by: -4 |