Atkin-Lehner |
2- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
28864o |
Isogeny class |
Conductor |
28864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
-29556736 = -1 · 216 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 2 1 -1 11+ 6 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,353] |
[a1,a2,a3,a4,a6] |
j |
-470596/451 |
j-invariant |
L |
3.8194536862554 |
L(r)(E,1)/r! |
Ω |
1.9097268431281 |
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 |
28864j1 7216c1 |
Quadratic twists by: -4 8 |