Atkin-Lehner |
2- 3- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
27768l |
Isogeny class |
Conductor |
27768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-28153641984 = -1 · 210 · 3 · 13 · 893 |
Discriminant |
Eigenvalues |
2- 3- -1 3 -3 13- -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1736,28416] |
[a1,a2,a3,a4,a6] |
j |
-565357377316/27493791 |
j-invariant |
L |
2.3396356130521 |
L(r)(E,1)/r! |
Ω |
1.1698178065266 |
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 |
55536c1 83304l1 |
Quadratic twists by: -4 -3 |