Atkin-Lehner |
2- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
41536m |
Isogeny class |
Conductor |
41536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7104 |
Modular degree for the optimal curve |
Δ |
-39209984 = -1 · 210 · 11 · 592 |
Discriminant |
Eigenvalues |
2- 0 2 -2 11+ 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64,-360] |
[a1,a2,a3,a4,a6] |
j |
-28311552/38291 |
j-invariant |
L |
0.8039124973397 |
L(r)(E,1)/r! |
Ω |
0.80391249737073 |
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 |
41536j1 10384f1 |
Quadratic twists by: -4 8 |