Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296c |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8578732032 = 212 · 36 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 0 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-660,4768] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:36:1] [-18:104:1] |
Generators of the group modulo torsion |
j |
10648000/2873 |
j-invariant |
L |
10.688150314406 |
L(r)(E,1)/r! |
Ω |
1.2188498795721 |
Real period |
R |
2.1922614277705 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296b2 63648j1 14144d2 |
Quadratic twists by: -4 8 -3 |