Atkin-Lehner |
2- 3- 7+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
22386t |
Isogeny class |
Conductor |
22386 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
9569280 |
Modular degree for the optimal curve |
Δ |
1.8269088231048E+25 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 5 13+ 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-119248877,-457102142511] |
[a1,a2,a3,a4,a6] |
j |
187536845211756879082380654673/18269088231048308260798464 |
j-invariant |
L |
4.4133513587558 |
L(r)(E,1)/r! |
Ω |
0.04597240998704 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67158j1 |
Quadratic twists by: -3 |