Atkin-Lehner |
2+ 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
47712g |
Isogeny class |
Conductor |
47712 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-3156053471424 = -1 · 26 · 39 · 7 · 713 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 5 5 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1834,-91276] |
[a1,a2,a3,a4,a6] |
j |
-10665433505728/49313335491 |
j-invariant |
L |
5.9500593802432 |
L(r)(E,1)/r! |
Ω |
0.33055885446619 |
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 |
47712e1 95424bm1 |
Quadratic twists by: -4 8 |