Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840fl |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.3368632651606E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40156428,-80613670448] |
[a1,a2,a3,a4,a6] |
Generators |
[10757:855657:1] [-38558:248841:8] |
Generators of the group modulo torsion |
j |
299786086083570891272/55964100325078125 |
j-invariant |
L |
11.151701363507 |
L(r)(E,1)/r! |
Ω |
0.060747767129901 |
Real period |
R |
45.893461967926 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001666 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840en2 61920s2 41280dq2 |
Quadratic twists by: -4 8 -3 |