Atkin-Lehner |
2+ 3- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
20826j |
Isogeny class |
Conductor |
20826 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-8500062924288 = -1 · 29 · 315 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 4 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-297,-140211] |
[a1,a2,a3,a4,a6] |
Generators |
[565:13127:1] |
Generators of the group modulo torsion |
j |
-3981876625/11659894272 |
j-invariant |
L |
4.2596084417779 |
L(r)(E,1)/r! |
Ω |
0.33312537764188 |
Real period |
R |
6.393401295228 |
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 |
6942l1 |
Quadratic twists by: -3 |