Atkin-Lehner |
2- 3- 5- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
54990bn |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
75389952 |
Modular degree for the optimal curve |
Δ |
-2.4282490915784E+29 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 3 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2418727217,51560389728609] |
[a1,a2,a3,a4,a6] |
j |
-2146628338634870730682126644169/333093153851632708485120000 |
j-invariant |
L |
5.307372787191 |
L(r)(E,1)/r! |
Ω |
0.030155527205747 |
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 |
18330a1 |
Quadratic twists by: -3 |