Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544dt |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8431291872804519936 = -1 · 214 · 37 · 712 · 17 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 3 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,479616,56322016] |
[a1,a2,a3,a4,a6] |
Generators |
[98057:30706389:1] |
Generators of the group modulo torsion |
j |
1021544365555712/705905647251 |
j-invariant |
L |
5.0350885590424 |
L(r)(E,1)/r! |
Ω |
0.14685590362365 |
Real period |
R |
4.2857389753084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994645 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68544cf2 17136ba2 22848cq2 |
Quadratic twists by: -4 8 -3 |