Atkin-Lehner |
2- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
64372d |
Isogeny class |
Conductor |
64372 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
-3.2397248926054E+21 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7321831,-8102475810] |
[a1,a2,a3,a4,a6] |
Generators |
[29970:1044435:8] |
Generators of the group modulo torsion |
j |
-71913211128432/5367029731 |
j-invariant |
L |
3.6306532871111 |
L(r)(E,1)/r! |
Ω |
0.045693639311934 |
Real period |
R |
5.2970950904845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000349 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64372a2 |
Quadratic twists by: -11 |