Atkin-Lehner |
3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
17775l |
Isogeny class |
Conductor |
17775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-329115234375 = -1 · 33 · 59 · 792 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 6 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1383,-19584] |
[a1,a2,a3,a4,a6] |
j |
5545233/6241 |
j-invariant |
L |
1.0388155789072 |
L(r)(E,1)/r! |
Ω |
0.51940778945362 |
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 |
17775p2 17775n2 |
Quadratic twists by: -3 5 |