Atkin-Lehner |
2- 3- 7+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778be |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
-40574934941958144 = -1 · 227 · 37 · 73 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 5 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1147766,-473102971] |
[a1,a2,a3,a4,a6] |
j |
-229380183522087218713/55658346971136 |
j-invariant |
L |
7.8763260001272 |
L(r)(E,1)/r! |
Ω |
0.072928944461507 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16926s1 |
Quadratic twists by: -3 |