Atkin-Lehner |
2+ 3+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
18666a |
Isogeny class |
Conductor |
18666 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-47190858552 = -1 · 23 · 39 · 173 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 -3 -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2607,-51643] |
[a1,a2,a3,a4,a6] |
j |
-99574747875/2397544 |
j-invariant |
L |
0.66717294323027 |
L(r)(E,1)/r! |
Ω |
0.33358647161514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18666f1 |
Quadratic twists by: -3 |