Atkin-Lehner |
3- 5- 29- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
69165p |
Isogeny class |
Conductor |
69165 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
35616 |
Modular degree for the optimal curve |
Δ |
-15737043285 = -1 · 36 · 5 · 29 · 533 |
Discriminant |
Eigenvalues |
1 3- 5- 1 3 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,381,-5410] |
[a1,a2,a3,a4,a6] |
j |
8377795791/21587165 |
j-invariant |
L |
2.559304425561 |
L(r)(E,1)/r! |
Ω |
0.63982610399553 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7685b1 |
Quadratic twists by: -3 |