Atkin-Lehner |
2- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36080p |
Isogeny class |
Conductor |
36080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
8128102400 = 216 · 52 · 112 · 41 |
Discriminant |
Eigenvalues |
2- -2 5- -2 11+ 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1760,27508] |
[a1,a2,a3,a4,a6] |
Generators |
[36:-110:1] |
Generators of the group modulo torsion |
j |
147281603041/1984400 |
j-invariant |
L |
3.9014494241181 |
L(r)(E,1)/r! |
Ω |
1.3154498427375 |
Real period |
R |
0.74146677763062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4510h1 |
Quadratic twists by: -4 |