Atkin-Lehner |
2- 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
6768t |
Isogeny class |
Conductor |
6768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
306926309376 = 212 · 313 · 47 |
Discriminant |
Eigenvalues |
2- 3- 3 3 -5 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1776,10928] |
[a1,a2,a3,a4,a6] |
j |
207474688/102789 |
j-invariant |
L |
3.4369707999414 |
L(r)(E,1)/r! |
Ω |
0.85924269998535 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
423e1 27072cr1 2256h1 |
Quadratic twists by: -4 8 -3 |