Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
12720bj |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
-2.07077783364E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12390720,-27593545932] |
[a1,a2,a3,a4,a6] |
Generators |
[5391:249630:1] |
Generators of the group modulo torsion |
j |
-51363360304251682409281/50556099454101562500 |
j-invariant |
L |
6.5586876884237 |
L(r)(E,1)/r! |
Ω |
0.038691026601997 |
Real period |
R |
3.5315508230818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1590q4 50880cd3 38160bj3 63600bp3 |
Quadratic twists by: -4 8 -3 5 |