Atkin-Lehner |
2- 3- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
27768m |
Isogeny class |
Conductor |
27768 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
8320 |
Modular degree for the optimal curve |
Δ |
-71974656 = -1 · 28 · 35 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -3 13- -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52,416] |
[a1,a2,a3,a4,a6] |
Generators |
[2:18:1] [-5:24:1] |
Generators of the group modulo torsion |
j |
-61918288/281151 |
j-invariant |
L |
7.947219361386 |
L(r)(E,1)/r! |
Ω |
1.6907208414725 |
Real period |
R |
0.23502458733716 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55536d1 83304m1 |
Quadratic twists by: -4 -3 |