Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17856z |
Isogeny class |
Conductor |
17856 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-1801347849216 = -1 · 210 · 310 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 -2 -4 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5052,-152552] |
[a1,a2,a3,a4,a6] |
Generators |
[389:7533:1] |
Generators of the group modulo torsion |
j |
-19102326016/2413071 |
j-invariant |
L |
4.5171249356274 |
L(r)(E,1)/r! |
Ω |
0.2811560989891 |
Real period |
R |
2.6777087839986 |
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 |
17856br1 2232f1 5952t1 |
Quadratic twists by: -4 8 -3 |