Atkin-Lehner |
2- 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
53680s |
Isogeny class |
Conductor |
53680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
36019280 = 24 · 5 · 112 · 612 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11+ 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-181,834] |
[a1,a2,a3,a4,a6] |
Generators |
[2:22:1] |
Generators of the group modulo torsion |
j |
41213231104/2251205 |
j-invariant |
L |
2.502071874941 |
L(r)(E,1)/r! |
Ω |
2.0304850965168 |
Real period |
R |
1.2322532576873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13420e1 |
Quadratic twists by: -4 |