Atkin-Lehner |
2+ 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
27456bc |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4322808941248512 = 221 · 38 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48289,2567615] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:2457:1] |
Generators of the group modulo torsion |
j |
47504791830313/16490207448 |
j-invariant |
L |
5.7397637602362 |
L(r)(E,1)/r! |
Ω |
0.40156987508078 |
Real period |
R |
1.7866640765451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27456bw3 858a4 82368ch3 |
Quadratic twists by: -4 8 -3 |