Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240fm |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3955831603200 = 220 · 38 · 52 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63590412,195180115984] |
[a1,a2,a3,a4,a6] |
j |
148809678420065817601/20700 |
j-invariant |
L |
2.4853593451962 |
L(r)(E,1)/r! |
Ω |
0.3106699176073 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240cw4 16560bi4 22080cr4 |
Quadratic twists by: -4 8 -3 |