Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6336bb |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
64 |
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] |
Generators |
[438:1760:1] |
Generators of the group modulo torsion |
j |
13015685560572352/864536409 |
j-invariant |
L |
4.1718125159008 |
L(r)(E,1)/r! |
Ω |
0.43327891938326 |
Real period |
R |
2.4071171762978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6336n2 3168i1 2112n2 69696ck2 |
Quadratic twists by: -4 8 -3 -11 |