Atkin-Lehner |
3- 5- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39975y |
Isogeny class |
Conductor |
39975 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
2255040 |
Modular degree for the optimal curve |
Δ |
1.3631904448302E+19 |
Discriminant |
Eigenvalues |
0 3- 5- 5 3 13- 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6727583,6711810869] |
[a1,a2,a3,a4,a6] |
j |
86206683096332861440/34897675387653 |
j-invariant |
L |
3.9530482416164 |
L(r)(E,1)/r! |
Ω |
0.21961379119776 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
119925bt1 39975a1 |
Quadratic twists by: -3 5 |