Atkin-Lehner |
2- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
16960p |
Isogeny class |
Conductor |
16960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-13893632000000 = -1 · 224 · 56 · 53 |
Discriminant |
Eigenvalues |
2- 1 5- -2 0 -5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-187425,31169375] |
[a1,a2,a3,a4,a6] |
Generators |
[295:1280:1] |
Generators of the group modulo torsion |
j |
-2777593363840009/53000000 |
j-invariant |
L |
5.56173670497 |
L(r)(E,1)/r! |
Ω |
0.64909952599198 |
Real period |
R |
0.35701617409071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16960e2 4240e2 84800cb2 |
Quadratic twists by: -4 8 5 |