Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
27456ck |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6656 |
Modular degree for the optimal curve |
Δ |
-42172416 = -1 · 215 · 32 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 11- 13- -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,351] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:24:1] |
Generators of the group modulo torsion |
j |
-941192/1287 |
j-invariant |
L |
6.8252887046607 |
L(r)(E,1)/r! |
Ω |
1.8324174036337 |
Real period |
R |
0.46559320294097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27456bm1 13728g1 82368eb1 |
Quadratic twists by: -4 8 -3 |