Atkin-Lehner |
2- 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
10998m |
Isogeny class |
Conductor |
10998 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
156758981184 = 26 · 38 · 132 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3416,75291] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:375:1] |
Generators of the group modulo torsion |
j |
6045477024313/215032896 |
j-invariant |
L |
6.0291840530564 |
L(r)(E,1)/r! |
Ω |
1.0176998414351 |
Real period |
R |
0.98738740828112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87984bg2 3666a2 |
Quadratic twists by: -4 -3 |