Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694bc |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6580224 |
Modular degree for the optimal curve |
Δ |
-7.1822660032168E+19 |
Discriminant |
Eigenvalues |
2+ 3- 3 3 11+ 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-882522,517696012] |
[a1,a2,a3,a4,a6] |
j |
-11832089797403/11179524096 |
j-invariant |
L |
5.6779625110162 |
L(r)(E,1)/r! |
Ω |
0.17743629469945 |
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 |
122694cw1 9438y1 |
Quadratic twists by: -11 13 |