Atkin-Lehner |
2- 3- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54978bw |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
73532605267968 = 216 · 3 · 76 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13917,-479823] |
[a1,a2,a3,a4,a6] |
j |
2533811507137/625016832 |
j-invariant |
L |
7.1597099755035 |
L(r)(E,1)/r! |
Ω |
0.44748187341193 |
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 |
1122e1 |
Quadratic twists by: -7 |