Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17136z |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
39797194752 = 216 · 36 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2691,52866] |
[a1,a2,a3,a4,a6] |
Generators |
[1:224:1] |
Generators of the group modulo torsion |
j |
721734273/13328 |
j-invariant |
L |
3.7222900143474 |
L(r)(E,1)/r! |
Ω |
1.1496938741143 |
Real period |
R |
0.80940894314477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2142h1 68544dl1 1904c1 119952gl1 |
Quadratic twists by: -4 8 -3 -7 |