Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6336n |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2581491884691456 = 212 · 316 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-705684,-228159520] |
[a1,a2,a3,a4,a6] |
j |
13015685560572352/864536409 |
j-invariant |
L |
2.9649762776153 |
L(r)(E,1)/r! |
Ω |
0.16472090431196 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6336bb2 3168z1 2112h2 69696cn2 |
Quadratic twists by: -4 8 -3 -11 |