Atkin-Lehner |
2+ 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6786d |
Isogeny class |
Conductor |
6786 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-11392486899534 = -1 · 2 · 319 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 -2 13- 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7470,-294998] |
[a1,a2,a3,a4,a6] |
Generators |
[1223:42035:1] |
Generators of the group modulo torsion |
j |
-63239829700321/15627554046 |
j-invariant |
L |
2.4303456035365 |
L(r)(E,1)/r! |
Ω |
0.25346533955973 |
Real period |
R |
1.1985591441013 |
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 |
54288bn1 2262j1 88218bv1 |
Quadratic twists by: -4 -3 13 |