Atkin-Lehner |
5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39715f |
Isogeny class |
Conductor |
39715 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3.0420621980652E+21 |
Discriminant |
Eigenvalues |
-1 2 5+ 0 2 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4126561,-1837049492] |
[a1,a2,a3,a4,a6] |
j |
732821759099893/286865234375 |
j-invariant |
L |
0.98574918991804 |
L(r)(E,1)/r! |
Ω |
0.1095276877758 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39715o2 |
Quadratic twists by: 13 |