Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
113288z |
Isogeny class |
Conductor |
113288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
29002206528512 = 210 · 78 · 173 |
Discriminant |
Eigenvalues |
2- -2 -2 7- -2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11384,-392960] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:272:1] |
Generators of the group modulo torsion |
j |
275684/49 |
j-invariant |
L |
2.839856769385 |
L(r)(E,1)/r! |
Ω |
0.46782792464436 |
Real period |
R |
3.0351509742034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024287 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16184f1 113288x1 |
Quadratic twists by: -7 17 |