Atkin-Lehner |
2- 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240cy |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-4.28347773504E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-103920,-315186732] |
[a1,a2,a3,a4,a6] |
Generators |
[956:21450:1] |
Generators of the group modulo torsion |
j |
-30301585803604081/10457709314062500 |
j-invariant |
L |
9.0932574146851 |
L(r)(E,1)/r! |
Ω |
0.090967918498798 |
Real period |
R |
4.1650477643623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000105 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030r4 |
Quadratic twists by: -4 |