Atkin-Lehner |
3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16275w |
Isogeny class |
Conductor |
16275 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
53197151267925 = 35 · 52 · 710 · 31 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- -3 4 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-38498,2873354] |
[a1,a2,a3,a4,a6] |
j |
252411704100843520/2127886050717 |
j-invariant |
L |
1.267522073569 |
L(r)(E,1)/r! |
Ω |
0.63376103678449 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
48825bn1 16275m2 113925x1 |
Quadratic twists by: -3 5 -7 |