Atkin-Lehner |
2- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
28864m |
Isogeny class |
Conductor |
28864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-1183424 = -1 · 26 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 1 3 -4 11+ 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11,-47] |
[a1,a2,a3,a4,a6] |
j |
2097152/18491 |
j-invariant |
L |
2.7111772556573 |
L(r)(E,1)/r! |
Ω |
1.3555886278295 |
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 |
28864g1 7216g1 |
Quadratic twists by: -4 8 |