Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296di |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
308834353152 = 214 · 38 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 2 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29532,1953200] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:1872:1] [74:416:1] |
Generators of the group modulo torsion |
j |
238481570896/25857 |
j-invariant |
L |
9.1997403165231 |
L(r)(E,1)/r! |
Ω |
0.92955744298056 |
Real period |
R |
2.474225874605 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000007724 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296bg2 31824h2 42432cb2 |
Quadratic twists by: -4 8 -3 |