Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
44180a |
Isogeny class |
Conductor |
44180 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
4418000 = 24 · 53 · 472 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -5 -2 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-188,-987] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:17:8] |
Generators of the group modulo torsion |
j |
20791296/125 |
j-invariant |
L |
3.7812986770954 |
L(r)(E,1)/r! |
Ω |
1.2897850958489 |
Real period |
R |
2.9317276880183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44180e1 |
Quadratic twists by: -47 |