Atkin-Lehner |
2+ 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20286o |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-491723798985990144 = -1 · 213 · 39 · 78 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 3 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46755,-33949931] |
[a1,a2,a3,a4,a6] |
j |
-2689684081/117006336 |
j-invariant |
L |
1.5467726786828 |
L(r)(E,1)/r! |
Ω |
0.12889772322357 |
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 |
6762x1 20286v1 |
Quadratic twists by: -3 -7 |