Atkin-Lehner |
3+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
8487b |
Isogeny class |
Conductor |
8487 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2272 |
Modular degree for the optimal curve |
Δ |
42799941 = 33 · 23 · 413 |
Discriminant |
Eigenvalues |
0 3+ 3 -1 -6 2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-186,924] |
[a1,a2,a3,a4,a6] |
j |
26357170176/1585183 |
j-invariant |
L |
1.3317029239303 |
L(r)(E,1)/r! |
Ω |
1.9975543858955 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
8487c2 |
Quadratic twists by: -3 |