Atkin-Lehner |
2- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56144h |
Isogeny class |
Conductor |
56144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-632406016 = -1 · 214 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 0 -2 4 11+ 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11,1210] |
[a1,a2,a3,a4,a6] |
j |
-27/116 |
j-invariant |
L |
2.6028772191241 |
L(r)(E,1)/r! |
Ω |
1.301438609922 |
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 |
7018c1 56144j1 |
Quadratic twists by: -4 -11 |