Atkin-Lehner |
3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44109b |
Isogeny class |
Conductor |
44109 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
197184 |
Modular degree for the optimal curve |
Δ |
-107943199117767 = -1 · 33 · 1310 · 29 |
Discriminant |
Eigenvalues |
1 3+ 4 -3 5 13+ -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5355,-520792] |
[a1,a2,a3,a4,a6] |
Generators |
[54758998940:-755254585942:256047875] |
Generators of the group modulo torsion |
j |
-4563/29 |
j-invariant |
L |
8.9398642617647 |
L(r)(E,1)/r! |
Ω |
0.2488801461412 |
Real period |
R |
17.960179629381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44109j1 44109d1 |
Quadratic twists by: -3 13 |