Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84270v |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
13208832 |
Modular degree for the optimal curve |
Δ |
-2.7885965911992E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 2 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9646047,-22638571244] |
[a1,a2,a3,a4,a6] |
Generators |
[2007880:-141692961:512] |
Generators of the group modulo torsion |
j |
4478336057868191/12581443584000 |
j-invariant |
L |
8.3899637798963 |
L(r)(E,1)/r! |
Ω |
0.050172540921917 |
Real period |
R |
3.9814814795617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957609 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1590k1 |
Quadratic twists by: 53 |