Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472cw |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
25320379908096 = 222 · 36 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8737,-203425] |
[a1,a2,a3,a4,a6] |
j |
281397674377/96589584 |
j-invariant |
L |
3.0455853497636 |
L(r)(E,1)/r! |
Ω |
0.50759755829393 |
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 |
17472a2 4368t2 52416ga2 122304gg2 |
Quadratic twists by: -4 8 -3 -7 |