Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840fg |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
-48074842552320000 = -1 · 214 · 310 · 54 · 433 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 3 -3 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25968,-10671392] |
[a1,a2,a3,a4,a6] |
j |
-162140591104/4025041875 |
j-invariant |
L |
1.8588822732409 |
L(r)(E,1)/r! |
Ω |
0.15490682764361 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123840bo1 30960j1 41280do1 |
Quadratic twists by: -4 8 -3 |