Atkin-Lehner |
3+ 5- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
8835c |
Isogeny class |
Conductor |
8835 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7.7528990976763E+21 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 -4 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19661962,-33297126269] |
[a1,a2,a3,a4,a6] |
Generators |
[573028089693127871425234958:63267365075812668186884731181:41260909813935738511528] |
Generators of the group modulo torsion |
j |
840628875525549147076242601/7752899097676306728045 |
j-invariant |
L |
4.8598797302926 |
L(r)(E,1)/r! |
Ω |
0.071735573911001 |
Real period |
R |
33.873568338089 |
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 |
26505d3 44175k3 |
Quadratic twists by: -3 5 |