Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
50820v |
Isogeny class |
Conductor |
50820 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-278440494116400 = -1 · 24 · 36 · 52 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16295,65228] |
[a1,a2,a3,a4,a6] |
j |
16880451584/9823275 |
j-invariant |
L |
3.9756702122267 |
L(r)(E,1)/r! |
Ω |
0.33130585108088 |
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 |
4620l1 |
Quadratic twists by: -11 |