Atkin-Lehner |
2- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44992bi |
Isogeny class |
Conductor |
44992 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-4923049115648 = -1 · 219 · 193 · 372 |
Discriminant |
Eigenvalues |
2- -1 -2 3 2 -3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3551,-70207] |
[a1,a2,a3,a4,a6] |
Generators |
[61:-608:1] |
Generators of the group modulo torsion |
j |
18884848247/18779942 |
j-invariant |
L |
4.0164376109382 |
L(r)(E,1)/r! |
Ω |
0.41848019313275 |
Real period |
R |
0.39990319701897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999713 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44992d1 11248i1 |
Quadratic twists by: -4 8 |