Atkin-Lehner |
3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92565bk |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-5130177978458790675 = -1 · 322 · 52 · 113 · 173 |
Discriminant |
Eigenvalues |
2 3- 5- -1 11+ 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,346533,75567555] |
[a1,a2,a3,a4,a6] |
Generators |
[24613358:1303544227:97336] |
Generators of the group modulo torsion |
j |
4742986881028096/5287213506825 |
j-invariant |
L |
14.553454333845 |
L(r)(E,1)/r! |
Ω |
0.16112730883859 |
Real period |
R |
11.290338083502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002518 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30855j1 92565bp1 |
Quadratic twists by: -3 -11 |