Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6786k |
Isogeny class |
Conductor |
6786 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-4.8326280151711E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 0 4 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10116590,12831293693] |
[a1,a2,a3,a4,a6] |
Generators |
[-2439:152851:1] |
Generators of the group modulo torsion |
j |
-157071934309059089673625/6629119362374565888 |
j-invariant |
L |
6.1825404960276 |
L(r)(E,1)/r! |
Ω |
0.13578905643511 |
Real period |
R |
0.63236773459296 |
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 |
54288be1 2262e1 88218m1 |
Quadratic twists by: -4 -3 13 |