Atkin-Lehner |
2- 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
6396b |
Isogeny class |
Conductor |
6396 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
3888 |
Modular degree for the optimal curve |
Δ |
622612224 = 28 · 33 · 133 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -5 13+ 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1100,-14364] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:6:1] |
Generators of the group modulo torsion |
j |
575514878416/2432079 |
j-invariant |
L |
5.1636869117287 |
L(r)(E,1)/r! |
Ω |
0.82914197294071 |
Real period |
R |
0.69197195283358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25584k1 102336l1 19188l1 83148j1 |
Quadratic twists by: -4 8 -3 13 |