Atkin-Lehner |
2- 3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6708f |
Isogeny class |
Conductor |
6708 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
104322816 = 28 · 36 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 4 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2972,61380] |
[a1,a2,a3,a4,a6] |
Generators |
[28:30:1] |
Generators of the group modulo torsion |
j |
11344262899408/407511 |
j-invariant |
L |
5.0308942185176 |
L(r)(E,1)/r! |
Ω |
1.7640251769637 |
Real period |
R |
0.63376447660923 |
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 |
26832m2 107328n2 20124b2 87204l2 |
Quadratic twists by: -4 8 -3 13 |