Atkin-Lehner |
2- 3- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
55536bg |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-113737728 = -1 · 215 · 3 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 3 0 13- 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,112,276] |
[a1,a2,a3,a4,a6] |
j |
37595375/27768 |
j-invariant |
L |
4.7753580761943 |
L(r)(E,1)/r! |
Ω |
1.1938395187577 |
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 |
6942k1 |
Quadratic twists by: -4 |