Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680dp |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1686616064000 = -1 · 214 · 53 · 77 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 3 -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1045,-63475] |
[a1,a2,a3,a4,a6] |
j |
-65536/875 |
j-invariant |
L |
2.1556781980879 |
L(r)(E,1)/r! |
Ω |
0.35927969968132 |
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 |
15680bo1 3920u1 78400hi1 2240p1 |
Quadratic twists by: -4 8 5 -7 |