Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15840z |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
1270209600 = 26 · 38 · 52 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-273,272] |
[a1,a2,a3,a4,a6] |
j |
48228544/27225 |
j-invariant |
L |
2.6384991759454 |
L(r)(E,1)/r! |
Ω |
1.3192495879727 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15840v1 31680do2 5280c1 79200bx1 |
Quadratic twists by: -4 8 -3 5 |