Atkin-Lehner |
2- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
28864n |
Isogeny class |
Conductor |
28864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
205056 |
Modular degree for the optimal curve |
Δ |
-426431784017142464 = -1 · 26 · 119 · 414 |
Discriminant |
Eigenvalues |
2- -1 -1 0 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-320691,-76529651] |
[a1,a2,a3,a4,a6] |
j |
-56990885911817038336/6662996625267851 |
j-invariant |
L |
0.1993124969567 |
L(r)(E,1)/r! |
Ω |
0.099656248479418 |
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 |
28864t1 14432d1 |
Quadratic twists by: -4 8 |