Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8976z |
Isogeny class |
Conductor |
8976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
147062784 = 218 · 3 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-144,276] |
[a1,a2,a3,a4,a6] |
Generators |
[11:12:1] |
Generators of the group modulo torsion |
j |
81182737/35904 |
j-invariant |
L |
4.4353826377298 |
L(r)(E,1)/r! |
Ω |
1.6477659834372 |
Real period |
R |
2.6917551899437 |
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 |
1122f1 35904by1 26928bu1 98736dm1 |
Quadratic twists by: -4 8 -3 -11 |