Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296cg |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
127768477911220224 = 218 · 310 · 134 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-313356,65288720] |
[a1,a2,a3,a4,a6] |
Generators |
[32:7436:1] |
Generators of the group modulo torsion |
j |
17806161424897/668584449 |
j-invariant |
L |
3.9023669522485 |
L(r)(E,1)/r! |
Ω |
0.32708486630207 |
Real period |
R |
2.9826869187221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998568146 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127296h2 31824bk2 42432bl2 |
Quadratic twists by: -4 8 -3 |