Atkin-Lehner |
2+ 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17856x |
Isogeny class |
Conductor |
17856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-1874451456 = -1 · 210 · 310 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -3 -5 2 4 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84,-2104] |
[a1,a2,a3,a4,a6] |
j |
-87808/2511 |
j-invariant |
L |
1.2873380066537 |
L(r)(E,1)/r! |
Ω |
0.64366900332687 |
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 |
17856cj1 1116b1 5952d1 |
Quadratic twists by: -4 8 -3 |