Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608eg |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3708302373036527616 = 212 · 310 · 76 · 194 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1489764,-693721600] |
[a1,a2,a3,a4,a6] |
j |
122458422894369472/1241902961649 |
j-invariant |
L |
4.3755851406807 |
L(r)(E,1)/r! |
Ω |
0.1367370357212 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76608ex2 38304j1 25536bz2 |
Quadratic twists by: -4 8 -3 |