Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
11160p |
Isogeny class |
Conductor |
11160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
806889888544757760 = 211 · 326 · 5 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-236667,-9800714] |
[a1,a2,a3,a4,a6] |
Generators |
[10458577288624804:-748925045342920935:2021405585984] |
Generators of the group modulo torsion |
j |
981927331418738/540451582155 |
j-invariant |
L |
4.8375687105803 |
L(r)(E,1)/r! |
Ω |
0.23152715619541 |
Real period |
R |
20.894174100672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22320l3 89280bk3 3720c3 55800q3 |
Quadratic twists by: -4 8 -3 5 |