Atkin-Lehner |
2+ 3+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
17622a |
Isogeny class |
Conductor |
17622 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-1233258048 = -1 · 26 · 39 · 11 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11+ 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3417,-76051] |
[a1,a2,a3,a4,a6] |
j |
-224201671875/62656 |
j-invariant |
L |
1.2488350155461 |
L(r)(E,1)/r! |
Ω |
0.31220875388651 |
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 |
17622h1 |
Quadratic twists by: -3 |