Atkin-Lehner |
2- 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680gp |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
16302182400 = 212 · 32 · 52 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1785,27783] |
[a1,a2,a3,a4,a6] |
j |
153646158016/3980025 |
j-invariant |
L |
4.9367303864903 |
L(r)(E,1)/r! |
Ω |
1.2341827800551 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680ej2 63840c1 |
Quadratic twists by: -4 8 |