Atkin-Lehner |
2- 3- 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
54990bo |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
655360 |
Modular degree for the optimal curve |
Δ |
332962105226400000 = 28 · 38 · 55 · 13 · 474 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-174587,-4154389] |
[a1,a2,a3,a4,a6] |
Generators |
[441:1894:1] |
Generators of the group modulo torsion |
j |
807289973987459689/456738141600000 |
j-invariant |
L |
11.291970680235 |
L(r)(E,1)/r! |
Ω |
0.25185077457085 |
Real period |
R |
0.56044947148939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18330g1 |
Quadratic twists by: -3 |