Atkin-Lehner |
5+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
44165a |
Isogeny class |
Conductor |
44165 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
-35564087075 = -1 · 52 · 117 · 73 |
Discriminant |
Eigenvalues |
0 -1 5+ 3 11- -1 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-161,-9054] |
[a1,a2,a3,a4,a6] |
Generators |
[48:-303:1] [348:6477:1] |
Generators of the group modulo torsion |
j |
-262144/20075 |
j-invariant |
L |
6.6963249244526 |
L(r)(E,1)/r! |
Ω |
0.51154930722464 |
Real period |
R |
1.6362853076624 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4015a1 |
Quadratic twists by: -11 |