Atkin-Lehner |
2+ 7+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44198a |
Isogeny class |
Conductor |
44198 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
57456 |
Modular degree for the optimal curve |
Δ |
-5199850502 = -1 · 2 · 78 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 11+ 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-32121,2213082] |
[a1,a2,a3,a4,a6] |
Generators |
[54760950:243592596:389017] |
Generators of the group modulo torsion |
j |
-635751111625/902 |
j-invariant |
L |
4.9431308489496 |
L(r)(E,1)/r! |
Ω |
1.1563486175511 |
Real period |
R |
12.824326783268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
44198j1 |
Quadratic twists by: -7 |