Atkin-Lehner |
2- 3- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
22878g |
Isogeny class |
Conductor |
22878 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-86131647560024064 = -1 · 218 · 38 · 313 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 4 2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12704,14134083] |
[a1,a2,a3,a4,a6] |
j |
-311018046766777/118150408175616 |
j-invariant |
L |
4.9787889390482 |
L(r)(E,1)/r! |
Ω |
0.27659938550267 |
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 |
7626a1 |
Quadratic twists by: -3 |