Atkin-Lehner |
2- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
60164a |
Isogeny class |
Conductor |
60164 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-109974016256 = -1 · 28 · 136 · 89 |
Discriminant |
Eigenvalues |
2- -1 1 0 0 13+ -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,620,-15016] |
[a1,a2,a3,a4,a6] |
j |
21296/89 |
j-invariant |
L |
1.068435099627 |
L(r)(E,1)/r! |
Ω |
0.53421755049445 |
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 |
356a1 |
Quadratic twists by: 13 |