Atkin-Lehner |
3- 5- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
49995i |
Isogeny class |
Conductor |
49995 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
55216227825 = 39 · 52 · 11 · 1012 |
Discriminant |
Eigenvalues |
1 3- 5- 4 11- 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1089,8248] |
[a1,a2,a3,a4,a6] |
j |
196021690129/75742425 |
j-invariant |
L |
4.0735745738581 |
L(r)(E,1)/r! |
Ω |
1.0183936435821 |
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 |
16665a1 |
Quadratic twists by: -3 |