Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17136y |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5.3571641278441E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1975478979,-33795331366718] |
[a1,a2,a3,a4,a6] |
Generators |
[-1072757260131651696725939725209340240085457:52991034045941265051455258219089919911490:41801972684698244903805109417303366577] |
Generators of the group modulo torsion |
j |
285531136548675601769470657/17941034271597192 |
j-invariant |
L |
5.7811674097291 |
L(r)(E,1)/r! |
Ω |
0.02264547596348 |
Real period |
R |
63.822542514146 |
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 |
2142g5 68544dq6 5712t5 119952gs6 |
Quadratic twists by: -4 8 -3 -7 |