Atkin-Lehner |
2+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
59840j |
Isogeny class |
Conductor |
59840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
150524887040 = 215 · 5 · 11 · 174 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 11+ -6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2732,-51696] |
[a1,a2,a3,a4,a6] |
j |
68820189192/4593655 |
j-invariant |
L |
2.6525112022854 |
L(r)(E,1)/r! |
Ω |
0.66312780113293 |
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 |
59840p3 29920c3 |
Quadratic twists by: -4 8 |