Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100cs |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-4765680279486000 = -1 · 24 · 310 · 53 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41160,4621925] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:2430:1] |
Generators of the group modulo torsion |
j |
-131072/81 |
j-invariant |
L |
6.3173285530829 |
L(r)(E,1)/r! |
Ω |
0.40119850204783 |
Real period |
R |
3.9365354810881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700o1 44100cu1 44100cv1 |
Quadratic twists by: -3 5 -7 |