Atkin-Lehner |
2- 7+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9982d |
Isogeny class |
Conductor |
9982 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
Δ |
4.8849892322912E+21 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ -2 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-104572969,-411596783655] |
[a1,a2,a3,a4,a6] |
Generators |
[-5882:5195:1] |
Generators of the group modulo torsion |
j |
126468401112941801738256519697/4884989232291226591232 |
j-invariant |
L |
3.5101245457546 |
L(r)(E,1)/r! |
Ω |
0.047211271988326 |
Real period |
R |
1.4297940357836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79856f2 89838f2 69874k2 |
Quadratic twists by: -4 -3 -7 |