Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6336cb |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
152425152 = 26 · 39 · 112 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11+ 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-291,1816] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:54:1] |
Generators of the group modulo torsion |
j |
58411072/3267 |
j-invariant |
L |
3.7746249503126 |
L(r)(E,1)/r! |
Ω |
1.799630186831 |
Real period |
R |
1.0487223925043 |
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 |
6336cj1 3168y2 2112bb1 69696go1 |
Quadratic twists by: -4 8 -3 -11 |