Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6336bp |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
39957339045888 = 224 · 39 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11- -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-590220,174529296] |
[a1,a2,a3,a4,a6] |
Generators |
[930:20736:1] |
Generators of the group modulo torsion |
j |
4406910829875/7744 |
j-invariant |
L |
3.854641913944 |
L(r)(E,1)/r! |
Ω |
0.55264525025751 |
Real period |
R |
1.7437234429084 |
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 |
6336b4 1584h4 6336bi2 69696ef4 |
Quadratic twists by: -4 8 -3 -11 |