Atkin-Lehner |
3- 11- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17391k |
Isogeny class |
Conductor |
17391 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
155904 |
Modular degree for the optimal curve |
Δ |
-104003494220043 = -1 · 314 · 113 · 17 · 312 |
Discriminant |
Eigenvalues |
-2 3- -4 -1 11- -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-26900,1758680] |
[a1,a2,a3,a4,a6] |
Generators |
[-164:1336:1] [160:-1256:1] |
Generators of the group modulo torsion |
j |
-2152765360996765696/104003494220043 |
j-invariant |
L |
3.5939011728063 |
L(r)(E,1)/r! |
Ω |
0.5900272728876 |
Real period |
R |
0.072512813792635 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52173k1 |
Quadratic twists by: -3 |