Atkin-Lehner |
5- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
44165b |
Isogeny class |
Conductor |
44165 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
44165 = 5 · 112 · 73 |
Discriminant |
Eigenvalues |
-1 -2 5- -1 11- -2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30,-65] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:2:1] |
Generators of the group modulo torsion |
j |
24729001/365 |
j-invariant |
L |
1.7227074834627 |
L(r)(E,1)/r! |
Ω |
2.0414188692763 |
Real period |
R |
0.84387751548633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999473 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44165c1 |
Quadratic twists by: -11 |