Atkin-Lehner |
2- 3- 5+ 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
32370be |
Isogeny class |
Conductor |
32370 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
15230163723840 = 26 · 312 · 5 · 13 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-719881,235032665] |
[a1,a2,a3,a4,a6] |
j |
41257782651842150039569/15230163723840 |
j-invariant |
L |
2.2663181467631 |
L(r)(E,1)/r! |
Ω |
0.56657953669122 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
97110bk1 |
Quadratic twists by: -3 |