Atkin-Lehner |
3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
885a |
Isogeny class |
Conductor |
885 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
224 |
Modular degree for the optimal curve |
Δ |
645165 = 37 · 5 · 59 |
Discriminant |
Eigenvalues |
2 3+ 5+ 2 3 3 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-126,587] |
[a1,a2,a3,a4,a6] |
j |
222985990144/645165 |
j-invariant |
L |
2.8904036930525 |
L(r)(E,1)/r! |
Ω |
2.8904036930525 |
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 |
14160v1 56640bf1 2655h1 4425k1 |
Quadratic twists by: -4 8 -3 5 |