Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120gk |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
4.7608675209216E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5811267,5381826626] |
[a1,a2,a3,a4,a6] |
Generators |
[737:38720:1] |
Generators of the group modulo torsion |
j |
4102915888729/9000000 |
j-invariant |
L |
5.2377641827183 |
L(r)(E,1)/r! |
Ω |
0.20165018341513 |
Real period |
R |
1.0822711410445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008404 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10890ba6 29040ch6 720j6 |
Quadratic twists by: -4 -3 -11 |