Atkin-Lehner |
2- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11600r |
Isogeny class |
Conductor |
11600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-44092620800 = -1 · 221 · 52 · 292 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 3 4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6808,-218732] |
[a1,a2,a3,a4,a6] |
j |
-340836570625/430592 |
j-invariant |
L |
2.1021633009906 |
L(r)(E,1)/r! |
Ω |
0.26277041262383 |
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 |
1450b1 46400ca1 104400fd1 11600ba1 |
Quadratic twists by: -4 8 -3 5 |