Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840bg |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.7146334884836E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14085228,19346770352] |
[a1,a2,a3,a4,a6] |
j |
1617141066657115609/89723013444000 |
j-invariant |
L |
4.3714969282153 |
L(r)(E,1)/r! |
Ω |
0.12143046329372 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840fb3 3870z4 41280o3 |
Quadratic twists by: -4 8 -3 |