Atkin-Lehner |
2- 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6786p |
Isogeny class |
Conductor |
6786 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2784455069700096 = 212 · 314 · 132 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 4 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-202334,34989293] |
[a1,a2,a3,a4,a6] |
j |
1256610758033695897/3819554279424 |
j-invariant |
L |
5.4615919747773 |
L(r)(E,1)/r! |
Ω |
0.45513266456477 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54288bs2 2262h2 88218s2 |
Quadratic twists by: -4 -3 13 |