Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608er |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8339853312 = 212 · 37 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2820,-57472] |
[a1,a2,a3,a4,a6] |
j |
830584000/2793 |
j-invariant |
L |
2.6211089487132 |
L(r)(E,1)/r! |
Ω |
0.65527724752339 |
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 |
76608ed2 38304bo1 25536cf2 |
Quadratic twists by: -4 8 -3 |