Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6336ci |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
100902371328 = 222 · 37 · 11 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1164,272] |
[a1,a2,a3,a4,a6] |
j |
912673/528 |
j-invariant |
L |
3.5997457294735 |
L(r)(E,1)/r! |
Ω |
0.89993643236837 |
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 |
6336o1 1584n1 2112u1 69696gk1 |
Quadratic twists by: -4 8 -3 -11 |