Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600z |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-15974400000000 = -1 · 220 · 3 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5992,-73488] |
[a1,a2,a3,a4,a6] |
j |
371694959/249600 |
j-invariant |
L |
1.58409600609 |
L(r)(E,1)/r! |
Ω |
0.3960240015225 |
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 |
1950g1 62400gy1 46800cx1 3120z1 |
Quadratic twists by: -4 8 -3 5 |