Atkin-Lehner |
2- 3- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
51888v |
Isogeny class |
Conductor |
51888 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
181248 |
Modular degree for the optimal curve |
Δ |
-335124935995392 = -1 · 212 · 36 · 23 · 474 |
Discriminant |
Eigenvalues |
2- 3- 2 4 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6192,898452] |
[a1,a2,a3,a4,a6] |
j |
-6411014266033/81817611327 |
j-invariant |
L |
5.5075091231963 |
L(r)(E,1)/r! |
Ω |
0.45895909365984 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3243a1 |
Quadratic twists by: -4 |