Atkin-Lehner |
2- 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6708a |
Isogeny class |
Conductor |
6708 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4303814591232 = 28 · 34 · 136 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 2 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19308,1034280] |
[a1,a2,a3,a4,a6] |
j |
3109697253250000/16811775747 |
j-invariant |
L |
0.78175004882789 |
L(r)(E,1)/r! |
Ω |
0.78175004882789 |
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 |
26832q2 107328y2 20124a2 87204b2 |
Quadratic twists by: -4 8 -3 13 |