Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17856be |
Isogeny class |
Conductor |
17856 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-77477326848 = -1 · 212 · 39 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 0 -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,924,7904] |
[a1,a2,a3,a4,a6] |
Generators |
[4:108:1] |
Generators of the group modulo torsion |
j |
29218112/25947 |
j-invariant |
L |
2.8408821590363 |
L(r)(E,1)/r! |
Ω |
0.70809938871682 |
Real period |
R |
1.0029955555337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17856s2 8928j1 5952h2 |
Quadratic twists by: -4 8 -3 |