Atkin-Lehner |
2- 3+ 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
20706v |
Isogeny class |
Conductor |
20706 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
1324800 |
Modular degree for the optimal curve |
Δ |
-3.431785695062E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3746323,394507811] |
[a1,a2,a3,a4,a6] |
j |
5814861307745053100484527/3431785695062004854784 |
j-invariant |
L |
5.1435382642818 |
L(r)(E,1)/r! |
Ω |
0.085725637738031 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62118w1 |
Quadratic twists by: -3 |