Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544eb |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.5432160039057E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4558476,3234330416] |
[a1,a2,a3,a4,a6] |
j |
438536015880092936/64602489661101 |
j-invariant |
L |
1.1559715396199 |
L(r)(E,1)/r! |
Ω |
0.14449644414271 |
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 |
68544ex4 34272m3 22848bt4 |
Quadratic twists by: -4 8 -3 |