Atkin-Lehner |
2- 3- 7+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778bc |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-3160317468986496 = -1 · 27 · 36 · 7 · 132 · 315 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 6 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29642,3350153] |
[a1,a2,a3,a4,a6] |
j |
-3950981143258969/4335140561024 |
j-invariant |
L |
5.7024592531786 |
L(r)(E,1)/r! |
Ω |
0.407318518102 |
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 |
5642d1 |
Quadratic twists by: -3 |