Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722u |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-944994957806592 = -1 · 210 · 33 · 710 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- -1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14856,1638720] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:1560:1] |
Generators of the group modulo torsion |
j |
-392931/1024 |
j-invariant |
L |
6.3724285661122 |
L(r)(E,1)/r! |
Ω |
0.43825031699772 |
Real period |
R |
3.635153423487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008471 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722ey1 106722g1 106722eu1 |
Quadratic twists by: -3 -7 -11 |