Atkin-Lehner |
3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44835p |
Isogeny class |
Conductor |
44835 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
-1.342762729254E+24 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-226087961,-1309677546864] |
[a1,a2,a3,a4,a6] |
Generators |
[111528085444604909974563333:-39803408388272810092145008005:865577943157772710601] |
Generators of the group modulo torsion |
j |
-10863450343664926445208961/11413294879293124335 |
j-invariant |
L |
4.2797132948973 |
L(r)(E,1)/r! |
Ω |
0.019465826194646 |
Real period |
R |
43.971555608447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999675 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6405e1 |
Quadratic twists by: -7 |