Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
27552h |
Isogeny class |
Conductor |
27552 |
Conductor |
∏ cp |
132 |
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] |
Generators |
[-55:2268:1] |
Generators of the group modulo torsion |
j |
-855643367097856/854487863523 |
j-invariant |
L |
5.2768717065249 |
L(r)(E,1)/r! |
Ω |
0.40512893237628 |
Real period |
R |
0.098675502074182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27552l1 55104p1 82656bl1 |
Quadratic twists by: -4 8 -3 |