Atkin-Lehner |
2+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
8722b |
Isogeny class |
Conductor |
8722 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-4104538312 = -1 · 23 · 78 · 89 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ -3 2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1081701,-433110856] |
[a1,a2,a3,a4,a6] |
j |
-24280661166015625/712 |
j-invariant |
L |
0.22205678824207 |
L(r)(E,1)/r! |
Ω |
0.074018929414023 |
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 |
69776f2 78498bk2 8722f2 |
Quadratic twists by: -4 -3 -7 |