Atkin-Lehner |
2- 3+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
43824m |
Isogeny class |
Conductor |
43824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-174989232 = -1 · 24 · 32 · 114 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11+ 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93,756] |
[a1,a2,a3,a4,a6] |
j |
-5619712000/10936827 |
j-invariant |
L |
1.6092882704812 |
L(r)(E,1)/r! |
Ω |
1.6092882702544 |
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 |
10956f1 |
Quadratic twists by: -4 |