Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472cu |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-8490365485056 = -1 · 219 · 34 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2751,-127809] |
[a1,a2,a3,a4,a6] |
j |
8780064047/32388174 |
j-invariant |
L |
1.4940864359222 |
L(r)(E,1)/r! |
Ω |
0.37352160898055 |
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 |
17472o4 4368o4 52416fj3 122304fi3 |
Quadratic twists by: -4 8 -3 -7 |