Atkin-Lehner |
3+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8487c |
Isogeny class |
Conductor |
8487 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
31201156989 = 39 · 23 · 413 |
Discriminant |
Eigenvalues |
0 3+ -3 -1 6 2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1674,-24955] |
[a1,a2,a3,a4,a6] |
j |
26357170176/1585183 |
j-invariant |
L |
1.4983772982893 |
L(r)(E,1)/r! |
Ω |
0.74918864914464 |
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 |
8487b1 |
Quadratic twists by: -3 |