Atkin-Lehner |
2- 3- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
27552x |
Isogeny class |
Conductor |
27552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-414907551744 = -1 · 212 · 3 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -2 -1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14929,697823] |
[a1,a2,a3,a4,a6] |
j |
-89843157911872/101295789 |
j-invariant |
L |
3.765699639415 |
L(r)(E,1)/r! |
Ω |
0.9414249098538 |
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 |
27552e1 55104h1 82656j1 |
Quadratic twists by: -4 8 -3 |