Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296y |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
19724941301465088 = 214 · 38 · 133 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -2 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-411420,-101347504] |
[a1,a2,a3,a4,a6] |
Generators |
[-368:468:1] |
Generators of the group modulo torsion |
j |
644811009586000/1651460733 |
j-invariant |
L |
3.7963349933228 |
L(r)(E,1)/r! |
Ω |
0.18853633083985 |
Real period |
R |
1.6779856172291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999358061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296cv2 15912n2 42432n2 |
Quadratic twists by: -4 8 -3 |