Atkin-Lehner |
2- 13- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
81328q |
Isogeny class |
Conductor |
81328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-102288502784 = -1 · 212 · 13 · 174 · 23 |
Discriminant |
Eigenvalues |
2- -1 3 0 -1 13- 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1131,4381] |
[a1,a2,a3,a4,a6] |
j |
39027212288/24972779 |
j-invariant |
L |
1.3229438301906 |
L(r)(E,1)/r! |
Ω |
0.66147194266867 |
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 |
5083d1 |
Quadratic twists by: -4 |