Atkin-Lehner |
3- 5- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
50325bc |
Isogeny class |
Conductor |
50325 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
99072 |
Modular degree for the optimal curve |
Δ |
-7398529875 = -1 · 36 · 53 · 113 · 61 |
Discriminant |
Eigenvalues |
2 3- 5- 2 11- 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-11428,-474071] |
[a1,a2,a3,a4,a6] |
j |
-1320572947632128/59188239 |
j-invariant |
L |
8.3114188162542 |
L(r)(E,1)/r! |
Ω |
0.23087274488209 |
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 |
50325n1 |
Quadratic twists by: 5 |