Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722gf |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-826968267525708 = -1 · 22 · 39 · 72 · 118 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8735,-1416621] |
[a1,a2,a3,a4,a6] |
Generators |
[8852:861:64] |
Generators of the group modulo torsion |
j |
-9625/108 |
j-invariant |
L |
10.662501186882 |
L(r)(E,1)/r! |
Ω |
0.21346997523325 |
Real period |
R |
6.2435602215783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018702 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574h1 106722fm1 106722cl1 |
Quadratic twists by: -3 -7 -11 |