Atkin-Lehner |
2- 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
6678n |
Isogeny class |
Conductor |
6678 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3612250404 = 22 · 38 · 72 · 532 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-401,1181] |
[a1,a2,a3,a4,a6] |
j |
9759185353/4955076 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
53424bx2 2226e2 46746bu2 |
Quadratic twists by: -4 -3 -7 |