Atkin-Lehner |
3- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
115989m |
Isogeny class |
Conductor |
115989 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.0255195578799E+21 |
Discriminant |
Eigenvalues |
-1 3- -2 4 0 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4562269,-4331305552] |
[a1,a2,a3,a4,a6] |
Generators |
[103077557810:4297203100769:29791000] |
Generators of the group modulo torsion |
j |
-2210870186656417/426415812183 |
j-invariant |
L |
5.735195419265 |
L(r)(E,1)/r! |
Ω |
0.051117469180567 |
Real period |
R |
14.024548424528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007736 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2829e4 |
Quadratic twists by: 41 |