Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722d |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10872576 |
Modular degree for the optimal curve |
Δ |
-6.4113575183812E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 11+ 0 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9917364,-12080145456] |
[a1,a2,a3,a4,a6] |
Generators |
[1014964:124562595:64] |
Generators of the group modulo torsion |
j |
-705703720113/4194304 |
j-invariant |
L |
3.0465821239924 |
L(r)(E,1)/r! |
Ω |
0.042522246515487 |
Real period |
R |
8.9558477831986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999955536 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722eb1 106722n1 106722ec1 |
Quadratic twists by: -3 -7 -11 |