Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544ds |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-136447524864 = -1 · 219 · 37 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 1 -3 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,564,-17008] |
[a1,a2,a3,a4,a6] |
Generators |
[28:144:1] |
Generators of the group modulo torsion |
j |
103823/714 |
j-invariant |
L |
7.4809168629874 |
L(r)(E,1)/r! |
Ω |
0.516664061501 |
Real period |
R |
1.8099083669829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000464 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68544ce1 17136bb1 22848ca1 |
Quadratic twists by: -4 8 -3 |