Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544dm |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-9253064177086464 = -1 · 212 · 318 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 2 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,52476,104960] |
[a1,a2,a3,a4,a6] |
Generators |
[18970:425072:125] |
Generators of the group modulo torsion |
j |
5352028359488/3098832471 |
j-invariant |
L |
7.8230776477663 |
L(r)(E,1)/r! |
Ω |
0.24572477241235 |
Real period |
R |
7.9591869913075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995666 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544ek1 34272be1 22848by1 |
Quadratic twists by: -4 8 -3 |