Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6600i |
Isogeny class |
Conductor |
6600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-9667968750000 = -1 · 24 · 32 · 514 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4383,185238] |
[a1,a2,a3,a4,a6] |
j |
-37256083456/38671875 |
j-invariant |
L |
2.6443828364267 |
L(r)(E,1)/r! |
Ω |
0.66109570910667 |
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 |
13200h1 52800x1 19800bi1 1320h1 |
Quadratic twists by: -4 8 -3 5 |