Atkin-Lehner |
2- 3- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
20826y |
Isogeny class |
Conductor |
20826 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-3689263422 = -1 · 2 · 313 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 1 0 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18140,-935827] |
[a1,a2,a3,a4,a6] |
Generators |
[248092166918:4620555079271:596947688] |
Generators of the group modulo torsion |
j |
-905494020693625/5060718 |
j-invariant |
L |
8.0927657193279 |
L(r)(E,1)/r! |
Ω |
0.20568942452994 |
Real period |
R |
19.672294134281 |
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 |
6942c1 |
Quadratic twists by: -3 |