Atkin-Lehner |
2- 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
6786h |
Isogeny class |
Conductor |
6786 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1721553912 = 23 · 39 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -4 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14960,707995] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:845:1] |
Generators of the group modulo torsion |
j |
18810484594875/87464 |
j-invariant |
L |
5.9332421429453 |
L(r)(E,1)/r! |
Ω |
1.3182075420144 |
Real period |
R |
1.5003308037212 |
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 |
54288w2 6786a2 88218g2 |
Quadratic twists by: -4 -3 13 |