Atkin-Lehner |
3- 5- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
52065m |
Isogeny class |
Conductor |
52065 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
346752 |
Modular degree for the optimal curve |
Δ |
-13740254543734875 = -1 · 39 · 53 · 137 · 89 |
Discriminant |
Eigenvalues |
0 3- 5- -2 -5 13+ 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,58308,-1561320] |
[a1,a2,a3,a4,a6] |
j |
30073267625394176/18848085793875 |
j-invariant |
L |
1.3709799094189 |
L(r)(E,1)/r! |
Ω |
0.22849665165434 |
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 |
17355h1 |
Quadratic twists by: -3 |