Atkin-Lehner |
2- 3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27846bj |
Isogeny class |
Conductor |
27846 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
9.7958047122921E+18 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1024826,370097385] |
[a1,a2,a3,a4,a6] |
j |
163284962754131070553/13437317849509008 |
j-invariant |
L |
2.6907571321694 |
L(r)(E,1)/r! |
Ω |
0.22422976101411 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282c1 |
Quadratic twists by: -3 |