Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
27456cm |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-189775872 = -1 · 214 · 34 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,143,143] |
[a1,a2,a3,a4,a6] |
Generators |
[2:21:1] |
Generators of the group modulo torsion |
j |
19600688/11583 |
j-invariant |
L |
7.7431159680389 |
L(r)(E,1)/r! |
Ω |
1.0918171823578 |
Real period |
R |
1.7729882101958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27456h1 6864c1 82368ei1 |
Quadratic twists by: -4 8 -3 |