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 |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
1.6562789125528E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10115139,12366939202] |
[a1,a2,a3,a4,a6] |
Generators |
[2181421:-18406458:1331] |
Generators of the group modulo torsion |
j |
38331145780597164097/55468445663232 |
j-invariant |
L |
5.7811674097291 |
L(r)(E,1)/r! |
Ω |
0.18116380770784 |
Real period |
R |
7.9778178142683 |
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 |
2142g1 68544dq1 5712t1 119952gs1 |
Quadratic twists by: -4 8 -3 -7 |