Atkin-Lehner |
2- 3+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129744q |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
18595848388608 = 220 · 39 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 2 -3 -2 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42579,3375378] |
[a1,a2,a3,a4,a6] |
Generators |
[114:54:1] |
Generators of the group modulo torsion |
j |
105890949891/230656 |
j-invariant |
L |
6.5720436835056 |
L(r)(E,1)/r! |
Ω |
0.68960598994547 |
Real period |
R |
2.382535720142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000103514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16218a1 129744o1 |
Quadratic twists by: -4 -3 |