Atkin-Lehner |
2- 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17808w |
Isogeny class |
Conductor |
17808 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-2401819951104 = -1 · 221 · 32 · 74 · 53 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 1 2 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-595896,-177252012] |
[a1,a2,a3,a4,a6] |
j |
-5713153642029363769/586381824 |
j-invariant |
L |
2.7493299073574 |
L(r)(E,1)/r! |
Ω |
0.085916559604919 |
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 |
2226a1 71232ck1 53424bp1 124656cb1 |
Quadratic twists by: -4 8 -3 -7 |