Atkin-Lehner |
2- 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
6678n |
Isogeny class |
Conductor |
6678 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15028324794 = 2 · 310 · 74 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5171,144281] |
[a1,a2,a3,a4,a6] |
j |
20972058349033/20614986 |
j-invariant |
L |
2.4789724250553 |
L(r)(E,1)/r! |
Ω |
1.2394862125277 |
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 |
53424bx4 2226e3 46746bu4 |
Quadratic twists by: -4 -3 -7 |