Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
127296p |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
100965076992 = 212 · 38 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 0 13+ 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5412,-152480] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:27:1] |
Generators of the group modulo torsion |
j |
5870966464/33813 |
j-invariant |
L |
3.5019048447625 |
L(r)(E,1)/r! |
Ω |
0.5568147526889 |
Real period |
R |
1.5722934872309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022203 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296o2 63648x1 42432q2 |
Quadratic twists by: -4 8 -3 |