Atkin-Lehner |
2- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
83776u |
Isogeny class |
Conductor |
83776 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.5326088541652E+24 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11+ 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-78108833,258968096321] |
[a1,a2,a3,a4,a6] |
Generators |
[15066819625:587780124888:2048383] |
Generators of the group modulo torsion |
j |
201040818306017728515625/5846438805256620032 |
j-invariant |
L |
9.7739295618005 |
L(r)(E,1)/r! |
Ω |
0.084396695687248 |
Real period |
R |
14.476173323083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004592 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83776r2 20944h2 |
Quadratic twists by: -4 8 |