Atkin-Lehner |
5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44795g |
Isogeny class |
Conductor |
44795 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33280 |
Modular degree for the optimal curve |
Δ |
-18706615975 = -1 · 52 · 176 · 31 |
Discriminant |
Eigenvalues |
-1 -2 5- -4 -4 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-295,-6888] |
[a1,a2,a3,a4,a6] |
j |
-117649/775 |
j-invariant |
L |
0.51275411508098 |
L(r)(E,1)/r! |
Ω |
0.51275411503508 |
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 |
155b1 |
Quadratic twists by: 17 |