Atkin-Lehner |
2- 3- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
20826z |
Isogeny class |
Conductor |
20826 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-161942976 = -1 · 26 · 37 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3- 1 1 -1 13+ 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1427,21107] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-2:1] |
Generators of the group modulo torsion |
j |
-440537367529/222144 |
j-invariant |
L |
8.6502261893377 |
L(r)(E,1)/r! |
Ω |
1.7927055512193 |
Real period |
R |
0.20105147271801 |
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 |
6942f1 |
Quadratic twists by: -3 |