Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
1638p |
Isogeny class |
Conductor |
1638 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-1579796946 = -1 · 2 · 311 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 1 13- 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-977,12147] |
[a1,a2,a3,a4,a6] |
j |
-141339344329/2167074 |
j-invariant |
L |
3.0137993988384 |
L(r)(E,1)/r! |
Ω |
1.5068996994192 |
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 |
13104ch1 52416bm1 546a1 40950bj1 |
Quadratic twists by: -4 8 -3 5 |