Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
53900a |
Isogeny class |
Conductor |
53900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-79266013750000 = -1 · 24 · 57 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11+ 3 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8575,300125] |
[a1,a2,a3,a4,a6] |
j |
48384/55 |
j-invariant |
L |
1.6248835255578 |
L(r)(E,1)/r! |
Ω |
0.40622088123256 |
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 |
10780j1 53900g1 |
Quadratic twists by: 5 -7 |