Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296ci |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5250184003584 = 214 · 38 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 4 4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31836,2183600] |
[a1,a2,a3,a4,a6] |
Generators |
[2:1456:1] |
Generators of the group modulo torsion |
j |
298766385232/439569 |
j-invariant |
L |
7.167818965656 |
L(r)(E,1)/r! |
Ω |
0.76392178293519 |
Real period |
R |
2.3457306348134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070212 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127296j2 31824n2 42432bn2 |
Quadratic twists by: -4 8 -3 |