Atkin-Lehner |
2- 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
44240s |
Isogeny class |
Conductor |
44240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-7.32946235392E+19 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 0 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,480013,-391507534] |
[a1,a2,a3,a4,a6] |
j |
2986226617770779319/17894195200000000 |
j-invariant |
L |
1.5543378020091 |
L(r)(E,1)/r! |
Ω |
0.097146112640466 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5530e1 |
Quadratic twists by: -4 |