Atkin-Lehner |
2+ 3- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
44850w |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-1.648986906709E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -6 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1240876,-815438602] |
[a1,a2,a3,a4,a6] |
Generators |
[1461:21421:1] |
Generators of the group modulo torsion |
j |
-13523476093748990641/10553516202937500 |
j-invariant |
L |
5.6386352785477 |
L(r)(E,1)/r! |
Ω |
0.069196446524952 |
Real period |
R |
5.092959575345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8970n1 |
Quadratic twists by: 5 |