Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20592br |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-853991424 = -1 · 213 · 36 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- -1 3 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,-1406] |
[a1,a2,a3,a4,a6] |
Generators |
[14:36:1] |
Generators of the group modulo torsion |
j |
-1/286 |
j-invariant |
L |
5.7729082068328 |
L(r)(E,1)/r! |
Ω |
0.72382816046142 |
Real period |
R |
1.9938807724587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2574i1 82368dk1 2288g1 |
Quadratic twists by: -4 8 -3 |