Atkin-Lehner |
2- 3+ 31+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
43896b |
Isogeny class |
Conductor |
43896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
66048 |
Modular degree for the optimal curve |
Δ |
-1004318005248 = -1 · 211 · 32 · 314 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 1 3 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12928,-563540] |
[a1,a2,a3,a4,a6] |
Generators |
[133:228:1] |
Generators of the group modulo torsion |
j |
-116686706773250/490389651 |
j-invariant |
L |
4.2441128966464 |
L(r)(E,1)/r! |
Ω |
0.22380753475152 |
Real period |
R |
4.740806538702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87792a1 |
Quadratic twists by: -4 |