Atkin-Lehner |
2- 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240cj |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-2.9490059830267E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3042080,-1630649600] |
[a1,a2,a3,a4,a6] |
Generators |
[1520:80640:1] |
Generators of the group modulo torsion |
j |
760108368478964389919/719972163824886000 |
j-invariant |
L |
6.1787835709426 |
L(r)(E,1)/r! |
Ω |
0.077977915175342 |
Real period |
R |
3.3015670510686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030z1 |
Quadratic twists by: -4 |