Atkin-Lehner |
2- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
17776h |
Isogeny class |
Conductor |
17776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-28726016 = -1 · 28 · 11 · 1012 |
Discriminant |
Eigenvalues |
2- 1 1 -4 11- 4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-165,-913] |
[a1,a2,a3,a4,a6] |
j |
-1952382976/112211 |
j-invariant |
L |
2.6539546413008 |
L(r)(E,1)/r! |
Ω |
0.66348866032521 |
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 |
4444a1 71104k1 |
Quadratic twists by: -4 8 |