Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688cu |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52416 |
Modular degree for the optimal curve |
Δ |
-772852281264 = -1 · 24 · 32 · 710 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -5 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3201,80478] |
[a1,a2,a3,a4,a6] |
j |
-802816/171 |
j-invariant |
L |
1.7168194124785 |
L(r)(E,1)/r! |
Ω |
0.8584097061346 |
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 |
11172j1 44688bs1 |
Quadratic twists by: -4 -7 |