Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
79680bh |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5.803148273724E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -2 -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23099521,21978069025] |
[a1,a2,a3,a4,a6] |
Generators |
[163749227137060921216:1988070803006985479553:165940685967747761] |
Generators of the group modulo torsion |
j |
5199872942215418706721/2213725385179146240 |
j-invariant |
L |
5.782045177231 |
L(r)(E,1)/r! |
Ω |
0.082971372048861 |
Real period |
R |
34.843615500232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011824 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79680r2 19920q2 |
Quadratic twists by: -4 8 |