Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840bo |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
4 |
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 |
1.198599147706 |
L(r)(E,1)/r! |
Ω |
0.29964974387618 |
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 |
123840fg1 15480p1 41280q1 |
Quadratic twists by: -4 8 -3 |