Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472cu |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1145044992 = 222 · 3 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-449,3135] |
[a1,a2,a3,a4,a6] |
j |
38272753/4368 |
j-invariant |
L |
1.4940864359222 |
L(r)(E,1)/r! |
Ω |
1.4940864359222 |
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 |
17472o1 4368o1 52416fj1 122304fi1 |
Quadratic twists by: -4 8 -3 -7 |