Atkin-Lehner |
2+ 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8928c |
Isogeny class |
Conductor |
8928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-1210583232 = -1 · 26 · 39 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 0 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,231,-988] |
[a1,a2,a3,a4,a6] |
j |
29218112/25947 |
j-invariant |
L |
3.3785726821891 |
L(r)(E,1)/r! |
Ω |
0.84464317054729 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8928j1 17856s2 2976d1 |
Quadratic twists by: -4 8 -3 |