Atkin-Lehner |
2- 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17856bv |
Isogeny class |
Conductor |
17856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-16212130642944 = -1 · 210 · 312 · 313 |
Discriminant |
Eigenvalues |
2- 3- 3 1 0 -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9032916,-10449369128] |
[a1,a2,a3,a4,a6] |
Generators |
[13588603334313384363263762638607051972263058065:2108276760355719603124349237292895421428057631529:555579759219242883768704427656857208577125] |
Generators of the group modulo torsion |
j |
-109189315135671400192/21717639 |
j-invariant |
L |
6.3707100996338 |
L(r)(E,1)/r! |
Ω |
0.043542420352812 |
Real period |
R |
73.155213330055 |
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 |
17856bf2 4464v2 5952bd2 |
Quadratic twists by: -4 8 -3 |