Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296cc |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3827384138612736 = 214 · 314 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68124,-6162640] |
[a1,a2,a3,a4,a6] |
Generators |
[-816680:3703700:4913] |
Generators of the group modulo torsion |
j |
2927363579728/320445801 |
j-invariant |
L |
10.641331456915 |
L(r)(E,1)/r! |
Ω |
0.29761041398417 |
Real period |
R |
8.9389778405436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998816284 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127296f2 31824q2 42432bp2 |
Quadratic twists by: -4 8 -3 |