Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608dw |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.0133349383379E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6316644,6108593920] |
[a1,a2,a3,a4,a6] |
Generators |
[-14406:2607560:27] |
Generators of the group modulo torsion |
j |
9334594126684326592/3393638205489 |
j-invariant |
L |
8.0828237547452 |
L(r)(E,1)/r! |
Ω |
0.22473087647566 |
Real period |
R |
8.9916702610288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997286 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76608fl2 38304o1 25536cu2 |
Quadratic twists by: -4 8 -3 |