Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296bi |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
959454344015511552 = 222 · 36 · 13 · 176 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 -2 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-697932,-219419280] |
[a1,a2,a3,a4,a6] |
Generators |
[-476:2224:1] |
Generators of the group modulo torsion |
j |
196741326427281/5020614352 |
j-invariant |
L |
3.5247563201029 |
L(r)(E,1)/r! |
Ω |
0.16543303942809 |
Real period |
R |
5.3265604966534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998566342 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296dh2 3978b2 14144k2 |
Quadratic twists by: -4 8 -3 |