Atkin-Lehner |
2+ 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17850x |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
71121093750 = 2 · 32 · 59 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9201,-340202] |
[a1,a2,a3,a4,a6] |
j |
44099220437/36414 |
j-invariant |
L |
0.97498509138635 |
L(r)(E,1)/r! |
Ω |
0.48749254569318 |
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 |
53550ee2 17850bo2 124950ca2 |
Quadratic twists by: -3 5 -7 |