Atkin-Lehner |
2- 3+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
20826q |
Isogeny class |
Conductor |
20826 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-360773525502 = -1 · 2 · 39 · 13 · 893 |
Discriminant |
Eigenvalues |
2- 3+ 2 1 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-434,29215] |
[a1,a2,a3,a4,a6] |
j |
-458314011/18329194 |
j-invariant |
L |
6.3601843576853 |
L(r)(E,1)/r! |
Ω |
0.79502304471066 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20826b1 |
Quadratic twists by: -3 |