Atkin-Lehner |
3+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
8487b |
Isogeny class |
Conductor |
8487 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
9818805501 = 39 · 233 · 41 |
Discriminant |
Eigenvalues |
0 3+ 3 -1 -6 2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2646,-52171] |
[a1,a2,a3,a4,a6] |
j |
104088305664/498847 |
j-invariant |
L |
1.3317029239303 |
L(r)(E,1)/r! |
Ω |
0.66585146196516 |
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 |
8487c1 |
Quadratic twists by: -3 |