Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
69966be |
Isogeny class |
Conductor |
69966 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
658944 |
Modular degree for the optimal curve |
Δ |
-86823862229696436 = -1 · 22 · 37 · 138 · 233 |
Discriminant |
Eigenvalues |
2- 3- 1 4 4 13+ -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,83623,-10714323] |
[a1,a2,a3,a4,a6] |
j |
108750551/146004 |
j-invariant |
L |
6.5305415511486 |
L(r)(E,1)/r! |
Ω |
0.18140393246381 |
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 |
23322a1 69966p1 |
Quadratic twists by: -3 13 |