Atkin-Lehner |
5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
2665a |
Isogeny class |
Conductor |
2665 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
160 |
Modular degree for the optimal curve |
Δ |
2665 = 5 · 13 · 41 |
Discriminant |
Eigenvalues |
1 0 5+ 2 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-55,-144] |
[a1,a2,a3,a4,a6] |
j |
18588565449/2665 |
j-invariant |
L |
1.7516329681361 |
L(r)(E,1)/r! |
Ω |
1.7516329681361 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42640e1 23985m1 13325f1 34645k1 |
Quadratic twists by: -4 -3 5 13 |