Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17952l |
Isogeny class |
Conductor |
17952 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
323136 = 26 · 33 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11- 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1682,27120] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:200:1] |
Generators of the group modulo torsion |
j |
8227727284672/5049 |
j-invariant |
L |
4.1409599890365 |
L(r)(E,1)/r! |
Ω |
2.5166035883827 |
Real period |
R |
3.2909116144889 |
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 |
17952e1 35904bc1 53856l1 |
Quadratic twists by: -4 8 -3 |