Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688br |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
463680 |
Modular degree for the optimal curve |
Δ |
-322634255871062016 = -1 · 212 · 314 · 74 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -4 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,136155,-19356147] |
[a1,a2,a3,a4,a6] |
Generators |
[13956:290871:64] |
Generators of the group modulo torsion |
j |
28383712415744/32806384371 |
j-invariant |
L |
5.5484228639486 |
L(r)(E,1)/r! |
Ω |
0.1642148886647 |
Real period |
R |
1.8770874990073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2793h1 44688ct1 |
Quadratic twists by: -4 -7 |