Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6336bx |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-513216 = -1 · 26 · 36 · 11 |
Discriminant |
Eigenvalues |
2- 3- 1 2 11+ -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,38] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:7:1] |
Generators of the group modulo torsion |
j |
-4096/11 |
j-invariant |
L |
4.4667634645865 |
L(r)(E,1)/r! |
Ω |
2.5907626435648 |
Real period |
R |
1.7241114216625 |
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 |
6336y1 1584p1 704k1 69696fw1 |
Quadratic twists by: -4 8 -3 -11 |