Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
127296dt |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1517303177035776 = -1 · 214 · 38 · 132 · 174 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 2 13- 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43356,3947920] |
[a1,a2,a3,a4,a6] |
Generators |
[62:-1224:1] |
Generators of the group modulo torsion |
j |
-754612278352/127035441 |
j-invariant |
L |
4.4911850509359 |
L(r)(E,1)/r! |
Ω |
0.4593168624537 |
Real period |
R |
0.61112293533265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998736369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296br2 31824bd2 42432ci2 |
Quadratic twists by: -4 8 -3 |