Atkin-Lehner |
3+ 5- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
52065d |
Isogeny class |
Conductor |
52065 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8256 |
Modular degree for the optimal curve |
Δ |
-156195 = -1 · 33 · 5 · 13 · 89 |
Discriminant |
Eigenvalues |
2 3+ 5- 2 -5 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-27,57] |
[a1,a2,a3,a4,a6] |
j |
-80621568/5785 |
j-invariant |
L |
6.3692607511298 |
L(r)(E,1)/r! |
Ω |
3.1846303759854 |
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 |
52065b1 |
Quadratic twists by: -3 |