Atkin-Lehner |
2- 3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
27552l |
Isogeny class |
Conductor |
27552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
160512 |
Modular degree for the optimal curve |
Δ |
-3499982288990208 = -1 · 212 · 311 · 76 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ -1 0 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31645,-3566699] |
[a1,a2,a3,a4,a6] |
j |
-855643367097856/854487863523 |
j-invariant |
L |
0.68816406615781 |
L(r)(E,1)/r! |
Ω |
0.17204101653963 |
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 |
27552h1 55104v1 82656n1 |
Quadratic twists by: -4 8 -3 |