Atkin-Lehner |
5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
17395c |
Isogeny class |
Conductor |
17395 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-1044134875 = -1 · 53 · 76 · 71 |
Discriminant |
Eigenvalues |
0 2 5+ 7- 0 -5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,229,727] |
[a1,a2,a3,a4,a6] |
j |
11239424/8875 |
j-invariant |
L |
1.0008857761727 |
L(r)(E,1)/r! |
Ω |
1.0008857761727 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86975d1 355a1 |
Quadratic twists by: 5 -7 |