Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608ev |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1086563745792 = 216 · 38 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6060,-174512] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:76:1] [-43:81:1] |
Generators of the group modulo torsion |
j |
515150500/22743 |
j-invariant |
L |
10.526734721752 |
L(r)(E,1)/r! |
Ω |
0.542581985097 |
Real period |
R |
4.8502968265195 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999828 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608bs2 19152z2 25536dc2 |
Quadratic twists by: -4 8 -3 |