Atkin-Lehner |
3- 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
50325ba |
Isogeny class |
Conductor |
50325 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1335360 |
Modular degree for the optimal curve |
Δ |
-6.3966270263686E+19 |
Discriminant |
Eigenvalues |
-1 3- 5- 1 11+ 2 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,104752,384586137] |
[a1,a2,a3,a4,a6] |
j |
1016951896892591659/511730162109489213 |
j-invariant |
L |
1.5281016171587 |
L(r)(E,1)/r! |
Ω |
0.15281016172692 |
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 |
50325k1 |
Quadratic twists by: 5 |