Atkin-Lehner |
3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
8619b |
Isogeny class |
Conductor |
8619 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3227129435693241 = 34 · 1310 · 172 |
Discriminant |
Eigenvalues |
1 3+ 2 0 -4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-91939,10337800] |
[a1,a2,a3,a4,a6] |
j |
17806161424897/668584449 |
j-invariant |
L |
1.7776832751844 |
L(r)(E,1)/r! |
Ω |
0.44442081879611 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25857h2 663b2 |
Quadratic twists by: -3 13 |