Atkin-Lehner |
3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
61005u |
Isogeny class |
Conductor |
61005 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
182358891225 = 32 · 52 · 76 · 832 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6788,-214819] |
[a1,a2,a3,a4,a6] |
j |
293946977449/1550025 |
j-invariant |
L |
4.209200516805 |
L(r)(E,1)/r! |
Ω |
0.52615006405036 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1245a2 |
Quadratic twists by: -7 |