Atkin-Lehner |
2+ 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9306f |
Isogeny class |
Conductor |
9306 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-20460911910912 = -1 · 213 · 37 · 11 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 11- 0 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6840,309568] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:563:1] |
Generators of the group modulo torsion |
j |
-48551226272641/28067094528 |
j-invariant |
L |
4.466844859832 |
L(r)(E,1)/r! |
Ω |
0.6332651368665 |
Real period |
R |
3.5268362331887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74448bi1 3102i1 102366bh1 |
Quadratic twists by: -4 -3 -11 |