Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608df |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6519382474752 = 217 · 39 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32940,2297808] |
[a1,a2,a3,a4,a6] |
Generators |
[112:116:1] |
Generators of the group modulo torsion |
j |
1532121750/2527 |
j-invariant |
L |
4.9279654674021 |
L(r)(E,1)/r! |
Ω |
0.75099525806119 |
Real period |
R |
3.280956446503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608k2 19152a2 76608de2 |
Quadratic twists by: -4 8 -3 |