Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2730z |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-4.678857421875E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1399324,3228856080] |
[a1,a2,a3,a4,a6] |
j |
303025056761573589385151/4678857421875000000000 |
j-invariant |
L |
3.6722493802316 |
L(r)(E,1)/r! |
Ω |
0.10200692722866 |
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 |
21840x3 87360bl3 8190v4 13650c4 |
Quadratic twists by: -4 8 -3 5 |