Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27360v |
Isogeny class |
Conductor |
27360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4.6981814478171E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1457412,-793052512] |
[a1,a2,a3,a4,a6] |
Generators |
[5518:418644:1] |
Generators of the group modulo torsion |
j |
114652428754998464/157341146095125 |
j-invariant |
L |
4.5445146445627 |
L(r)(E,1)/r! |
Ω |
0.088502148863202 |
Real period |
R |
6.4186501442851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27360j2 54720ca1 9120d4 |
Quadratic twists by: -4 8 -3 |