Atkin-Lehner |
2- 5- 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
54050m |
Isogeny class |
Conductor |
54050 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
814710784000 = 218 · 53 · 232 · 47 |
Discriminant |
Eigenvalues |
2- 1 5- 3 -3 -1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13398,594212] |
[a1,a2,a3,a4,a6] |
Generators |
[172:1754:1] |
Generators of the group modulo torsion |
j |
2127823717627061/6517686272 |
j-invariant |
L |
11.663625440603 |
L(r)(E,1)/r! |
Ω |
0.89666744528787 |
Real period |
R |
0.1806631863757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54050d1 |
Quadratic twists by: 5 |