Atkin-Lehner |
2- 3- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
24168o |
Isogeny class |
Conductor |
24168 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
317132496 = 24 · 39 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -2 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-171,-162] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:27:1] |
Generators of the group modulo torsion |
j |
34763966464/19820781 |
j-invariant |
L |
6.3490585904799 |
L(r)(E,1)/r! |
Ω |
1.4276123211558 |
Real period |
R |
0.24707371323562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48336j1 72504j1 |
Quadratic twists by: -4 -3 |