Atkin-Lehner |
2+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
28054b |
Isogeny class |
Conductor |
28054 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-4333161589952 = -1 · 26 · 138 · 83 |
Discriminant |
Eigenvalues |
2+ 1 4 -3 1 13+ -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2531,87544] |
[a1,a2,a3,a4,a6] |
j |
371694959/897728 |
j-invariant |
L |
2.1684144090617 |
L(r)(E,1)/r! |
Ω |
0.54210360226533 |
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 |
2158d1 |
Quadratic twists by: 13 |