Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17136ba |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-59438820397824 = -1 · 28 · 39 · 74 · 173 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -3 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26976,1745228] |
[a1,a2,a3,a4,a6] |
Generators |
[142:882:1] |
Generators of the group modulo torsion |
j |
-11632923639808/318495051 |
j-invariant |
L |
5.6377032004464 |
L(r)(E,1)/r! |
Ω |
0.62305683185735 |
Real period |
R |
1.131057174921 |
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 |
4284g1 68544dt1 5712n1 119952gz1 |
Quadratic twists by: -4 8 -3 -7 |