Atkin-Lehner |
3- 5+ 29+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
56115f |
Isogeny class |
Conductor |
56115 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8.9254517437134E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -2 -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11873813,-15679587508] |
[a1,a2,a3,a4,a6] |
j |
253960845577709976981001/1224341802978515625 |
j-invariant |
L |
0.32541532982286 |
L(r)(E,1)/r! |
Ω |
0.08135383215348 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18705l2 |
Quadratic twists by: -3 |