Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17850p |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
45696000000000 = 216 · 3 · 59 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25376,-1523602] |
[a1,a2,a3,a4,a6] |
j |
115650783909361/2924544000 |
j-invariant |
L |
1.5153939625829 |
L(r)(E,1)/r! |
Ω |
0.37884849064573 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53550dr1 3570u1 124950be1 |
Quadratic twists by: -3 5 -7 |