Atkin-Lehner |
2- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
28864t |
Isogeny class |
Conductor |
28864 |
Conductor |
∏ cp |
18 |
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] |
Generators |
[1686:203401:27] |
Generators of the group modulo torsion |
j |
-56990885911817038336/6662996625267851 |
j-invariant |
L |
5.5595029108355 |
L(r)(E,1)/r! |
Ω |
0.28978367605544 |
Real period |
R |
1.0658339249072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28864n1 14432b1 |
Quadratic twists by: -4 8 |