Atkin-Lehner |
7- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
44737d |
Isogeny class |
Conductor |
44737 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
227136 |
Modular degree for the optimal curve |
Δ |
-343264770010547 = -1 · 710 · 114 · 83 |
Discriminant |
Eigenvalues |
0 3 2 7- 11+ 0 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9604,-962201] |
[a1,a2,a3,a4,a6] |
Generators |
[3949405079285817:-102910810936693366:5684544504423] |
Generators of the group modulo torsion |
j |
-346816512/1215203 |
j-invariant |
L |
10.546840126902 |
L(r)(E,1)/r! |
Ω |
0.22137685875793 |
Real period |
R |
23.82100863224 |
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 |
44737a1 |
Quadratic twists by: -7 |