Atkin-Lehner |
3+ 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
8745d |
Isogeny class |
Conductor |
8745 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.1136200262451E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 11+ 4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3550471,-2571468046] |
[a1,a2,a3,a4,a6] |
j |
4949731360944386539212529/11136200262451171875 |
j-invariant |
L |
0.87998801714122 |
L(r)(E,1)/r! |
Ω |
0.10999850214265 |
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 |
26235p2 43725p2 96195f2 |
Quadratic twists by: -3 5 -11 |