Atkin-Lehner |
2- 3- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
55536bh |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-11551488 = -1 · 28 · 3 · 132 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13,-169] |
[a1,a2,a3,a4,a6] |
j |
-1024000/45123 |
j-invariant |
L |
3.9641658386288 |
L(r)(E,1)/r! |
Ω |
0.99104145988133 |
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 |
13884b1 |
Quadratic twists by: -4 |