Atkin-Lehner |
2+ 3- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
90816bf |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
118784 |
Modular degree for the optimal curve |
Δ |
255737856 = 214 · 3 · 112 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20817,1149135] |
[a1,a2,a3,a4,a6] |
Generators |
[11:960:1] |
Generators of the group modulo torsion |
j |
60894639222352/15609 |
j-invariant |
L |
8.8455006168886 |
L(r)(E,1)/r! |
Ω |
1.3970187381551 |
Real period |
R |
3.1658489539946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944497 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90816by1 11352k1 |
Quadratic twists by: -4 8 |