Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
52200bi |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
24354432000 = 210 · 38 · 53 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -2 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-795,-4250] |
[a1,a2,a3,a4,a6] |
j |
595508/261 |
j-invariant |
L |
3.7440103654728 |
L(r)(E,1)/r! |
Ω |
0.93600259179499 |
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 |
104400cn1 17400bo1 52200co1 |
Quadratic twists by: -4 -3 5 |