Atkin-Lehner |
2- 3+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
65136m |
Isogeny class |
Conductor |
65136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8131194810743390208 = -1 · 218 · 318 · 23 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-261488,-146442816] |
[a1,a2,a3,a4,a6] |
j |
-482748257781744625/1985154983091648 |
j-invariant |
L |
3.4632648781375 |
L(r)(E,1)/r! |
Ω |
0.096201802088771 |
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 |
8142f2 |
Quadratic twists by: -4 |