Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840cy |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
52000911360000 = 215 · 310 · 54 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1337772,-595554064] |
[a1,a2,a3,a4,a6] |
j |
11083898859981128/2176875 |
j-invariant |
L |
4.492146532074 |
L(r)(E,1)/r! |
Ω |
0.14037961091147 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840cl4 61920bp4 41280j4 |
Quadratic twists by: -4 8 -3 |