Atkin-Lehner |
2- 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840dd |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-108993600 = -1 · 26 · 34 · 52 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,60,450] |
[a1,a2,a3,a4,a6] |
j |
367061696/1703025 |
j-invariant |
L |
2.6942579320778 |
L(r)(E,1)/r! |
Ω |
1.3471289660392 |
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 |
27840ej1 13920y2 83520eg1 |
Quadratic twists by: -4 8 -3 |