Atkin-Lehner |
2- 3- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
57936v |
Isogeny class |
Conductor |
57936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-2017099776 = -1 · 215 · 3 · 172 · 71 |
Discriminant |
Eigenvalues |
2- 3- -3 3 -5 2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1512,-23244] |
[a1,a2,a3,a4,a6] |
j |
-93391282153/492456 |
j-invariant |
L |
3.0613340173955 |
L(r)(E,1)/r! |
Ω |
0.38266675278485 |
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 |
7242c1 |
Quadratic twists by: -4 |