Atkin-Lehner |
2- 3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
93240ce |
Isogeny class |
Conductor |
93240 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
128538057755520000 = 210 · 37 · 54 · 72 · 374 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17644107,28526438806] |
[a1,a2,a3,a4,a6] |
Generators |
[-4678:93240:1] [-3013:233100:1] |
Generators of the group modulo torsion |
j |
813758008494263065636/172188541875 |
j-invariant |
L |
11.875438265297 |
L(r)(E,1)/r! |
Ω |
0.26116416312304 |
Real period |
R |
2.8419476957115 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998805 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31080l4 |
Quadratic twists by: -3 |