Atkin-Lehner |
5- 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8815a |
Isogeny class |
Conductor |
8815 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-5106362059075 = -1 · 52 · 416 · 43 |
Discriminant |
Eigenvalues |
1 -2 5- 2 0 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4297,-7527] |
[a1,a2,a3,a4,a6] |
j |
8777383059455639/5106362059075 |
j-invariant |
L |
1.8137410510986 |
L(r)(E,1)/r! |
Ω |
0.45343526277465 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79335f2 44075d2 |
Quadratic twists by: -3 5 |