Atkin-Lehner |
3+ 17+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66861b |
Isogeny class |
Conductor |
66861 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3944753395515981 = -1 · 39 · 176 · 192 · 23 |
Discriminant |
Eigenvalues |
-1 3+ -2 0 -4 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49196,-5161724] |
[a1,a2,a3,a4,a6] |
j |
-668980597443579/200414235407 |
j-invariant |
L |
0.31569980641457 |
L(r)(E,1)/r! |
Ω |
0.15784989975909 |
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 |
66861d2 |
Quadratic twists by: -3 |