Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722b |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2661120 |
Modular degree for the optimal curve |
Δ |
-1.1744437714869E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 11+ 6 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,256800,157025952] |
[a1,a2,a3,a4,a6] |
Generators |
[-498:95175:8] |
Generators of the group modulo torsion |
j |
5103/32 |
j-invariant |
L |
4.9739499277415 |
L(r)(E,1)/r! |
Ω |
0.16389323528383 |
Real period |
R |
7.5871800144271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021634 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722dz1 106722l1 106722ea1 |
Quadratic twists by: -3 -7 -11 |