Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20592bq |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-3842961408 = -1 · 212 · 38 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11- 13- 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,285,2338] |
[a1,a2,a3,a4,a6] |
Generators |
[2:54:1] |
Generators of the group modulo torsion |
j |
857375/1287 |
j-invariant |
L |
5.6212668818731 |
L(r)(E,1)/r! |
Ω |
0.94809253404821 |
Real period |
R |
1.4822569211338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1287c1 82368dj1 6864v1 |
Quadratic twists by: -4 8 -3 |