Atkin-Lehner |
2+ 5- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
44720f |
Isogeny class |
Conductor |
44720 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-44720 = -1 · 24 · 5 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ -3 5- -4 0 13- 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22,-41] |
[a1,a2,a3,a4,a6] |
Generators |
[19:80:1] |
Generators of the group modulo torsion |
j |
-73598976/2795 |
j-invariant |
L |
3.385531694916 |
L(r)(E,1)/r! |
Ω |
1.0997583917948 |
Real period |
R |
3.0784322449075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22360c1 |
Quadratic twists by: -4 |