Atkin-Lehner |
2- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69440dg |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-239017590784000000 = -1 · 222 · 56 · 76 · 31 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 6 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3658625,2692433023] |
[a1,a2,a3,a4,a6] |
Generators |
[991:6400:1] |
Generators of the group modulo torsion |
j |
-20660346545062922209/911779750000 |
j-invariant |
L |
4.0245854205759 |
L(r)(E,1)/r! |
Ω |
0.29424079357466 |
Real period |
R |
1.1398219608711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002409 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440ca3 17360s3 |
Quadratic twists by: -4 8 |