Atkin-Lehner |
2+ 3+ 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9870b |
Isogeny class |
Conductor |
9870 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
33264 |
Modular degree for the optimal curve |
Δ |
-3249250744320 = -1 · 211 · 39 · 5 · 73 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 1 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20757,1145709] |
[a1,a2,a3,a4,a6] |
j |
-989122678774193881/3249250744320 |
j-invariant |
L |
0.79927309513924 |
L(r)(E,1)/r! |
Ω |
0.79927309513924 |
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 |
78960dh1 29610v1 49350cg1 69090v1 |
Quadratic twists by: -4 -3 5 -7 |