Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722cz |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4866048 |
Modular degree for the optimal curve |
Δ |
-2.825071108504E+21 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11- 1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2678055,3064162877] |
[a1,a2,a3,a4,a6] |
j |
-115538049/153664 |
j-invariant |
L |
1.0335706147416 |
L(r)(E,1)/r! |
Ω |
0.12919628196371 |
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 |
11858bc1 15246j1 106722go1 |
Quadratic twists by: -3 -7 -11 |