Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6336g |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
109882682376192 = 222 · 39 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50220,-4302288] |
[a1,a2,a3,a4,a6] |
j |
2714704875/21296 |
j-invariant |
L |
1.9144193040152 |
L(r)(E,1)/r! |
Ω |
0.31906988400254 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6336bi3 198c3 6336b1 69696k3 |
Quadratic twists by: -4 8 -3 -11 |