Atkin-Lehner |
2- 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10868b |
Isogeny class |
Conductor |
10868 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
84161792 = 28 · 113 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 2 0 3 11+ 13+ -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133,-351] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:6:1] |
Generators of the group modulo torsion |
j |
1024000000/328757 |
j-invariant |
L |
6.7049856582594 |
L(r)(E,1)/r! |
Ω |
1.440692177852 |
Real period |
R |
1.5513343195575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43472q1 97812m1 119548j1 |
Quadratic twists by: -4 -3 -11 |