Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240fj |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1716222212200857600 = 217 · 316 · 52 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 0 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18673932,31059959056] |
[a1,a2,a3,a4,a6] |
j |
7536914291382802562/17961229575 |
j-invariant |
L |
1.8359787567272 |
L(r)(E,1)/r! |
Ω |
0.2294973445467 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240ct2 16560i2 22080cp2 |
Quadratic twists by: -4 8 -3 |