Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22218bf |
Isogeny class |
Conductor |
22218 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
847872 |
Modular degree for the optimal curve |
Δ |
-7.8952313408203E+19 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 4 3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-516844,-450835504] |
[a1,a2,a3,a4,a6] |
j |
-194975262337/1008189504 |
j-invariant |
L |
7.7031442649831 |
L(r)(E,1)/r! |
Ω |
0.080241086093574 |
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 |
66654p1 22218bi1 |
Quadratic twists by: -3 -23 |