Atkin-Lehner |
2- 3- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
6042l |
Isogeny class |
Conductor |
6042 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
37584 |
Modular degree for the optimal curve |
Δ |
-1216415268864 = -1 · 227 · 32 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 1 0 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-338137,-75709255] |
[a1,a2,a3,a4,a6] |
j |
-4275647350940405110033/1216415268864 |
j-invariant |
L |
5.3455221189529 |
L(r)(E,1)/r! |
Ω |
0.098991150350979 |
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 |
48336bf1 18126c1 114798d1 |
Quadratic twists by: -4 -3 -19 |