Atkin-Lehner |
5- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
4565b |
Isogeny class |
Conductor |
4565 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1894475 = 52 · 11 · 832 |
Discriminant |
Eigenvalues |
-1 2 5- -4 11+ -2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50,-140] |
[a1,a2,a3,a4,a6] |
Generators |
[8:3:1] |
Generators of the group modulo torsion |
j |
13841287201/1894475 |
j-invariant |
L |
3.100631813383 |
L(r)(E,1)/r! |
Ω |
1.81148660516 |
Real period |
R |
1.7116504226699 |
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 |
73040s2 41085a2 22825b2 50215a2 |
Quadratic twists by: -4 -3 5 -11 |