Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
22308f |
Isogeny class |
Conductor |
22308 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1306368 |
Modular degree for the optimal curve |
Δ |
7.9538630440837E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16084293,-24460308144] |
[a1,a2,a3,a4,a6] |
j |
5958673237147648000/102990700534293 |
j-invariant |
L |
2.7167955336204 |
L(r)(E,1)/r! |
Ω |
0.075466542600567 |
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 |
89232x1 66924h1 1716b1 |
Quadratic twists by: -4 -3 13 |