Atkin-Lehner |
2- 3+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
22704r |
Isogeny class |
Conductor |
22704 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
110880 |
Modular degree for the optimal curve |
Δ |
-2375040590222256 = -1 · 24 · 311 · 117 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 11+ 6 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12755,-2282492] |
[a1,a2,a3,a4,a6] |
j |
14342044606398464/148440036888891 |
j-invariant |
L |
2.0390310699862 |
L(r)(E,1)/r! |
Ω |
0.22655900777624 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5676h1 90816cs1 68112cb1 |
Quadratic twists by: -4 8 -3 |