Atkin-Lehner |
2+ 3- 5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270bn |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1.2868640151404E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,461457,123451858] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:6585:1] |
Generators of the group modulo torsion |
j |
10867228028544202381079/12868640151403806000 |
j-invariant |
L |
5.9190088982993 |
L(r)(E,1)/r! |
Ω |
0.14994457065845 |
Real period |
R |
0.82238846554952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810dt3 |
Quadratic twists by: -3 |