Atkin-Lehner |
3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28611g |
Isogeny class |
Conductor |
28611 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-204423563619 = -1 · 312 · 113 · 172 |
Discriminant |
Eigenvalues |
0 3- 3 -2 11+ -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-16626,-825431] |
[a1,a2,a3,a4,a6] |
j |
-2412468600832/970299 |
j-invariant |
L |
0.84085697011289 |
L(r)(E,1)/r! |
Ω |
0.21021424252837 |
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 |
9537f1 28611y1 |
Quadratic twists by: -3 17 |