Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368el |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
856019653632 = 210 · 312 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19200,1023032] |
[a1,a2,a3,a4,a6] |
j |
1048576000000/1146717 |
j-invariant |
L |
3.5440708558724 |
L(r)(E,1)/r! |
Ω |
0.88601772518379 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82368r1 20592bd1 27456bj1 |
Quadratic twists by: -4 8 -3 |