Atkin-Lehner |
2+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28322d |
Isogeny class |
Conductor |
28322 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1351726167113756 = -1 · 22 · 77 · 177 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 2 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,25667,-796335] |
[a1,a2,a3,a4,a6] |
j |
658503/476 |
j-invariant |
L |
1.0826259723427 |
L(r)(E,1)/r! |
Ω |
0.27065649308557 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4046e1 1666d1 |
Quadratic twists by: -7 17 |