Atkin-Lehner |
2+ 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17808i |
Isogeny class |
Conductor |
17808 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-100564482816 = -1 · 28 · 32 · 77 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -3 -6 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1505,26667] |
[a1,a2,a3,a4,a6] |
j |
-1473607361536/392830011 |
j-invariant |
L |
2.0215075451804 |
L(r)(E,1)/r! |
Ω |
1.0107537725902 |
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 |
8904e1 71232cb1 53424e1 124656h1 |
Quadratic twists by: -4 8 -3 -7 |