Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472ct |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
636786023799324672 = 217 · 33 · 712 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-216769,5840447] |
[a1,a2,a3,a4,a6] |
j |
8594236719188066/4858291807551 |
j-invariant |
L |
2.9802414132633 |
L(r)(E,1)/r! |
Ω |
0.24835345110528 |
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 |
17472p3 4368b3 52416fk4 122304fh4 |
Quadratic twists by: -4 8 -3 -7 |