Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456by |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1182306718973952 = -1 · 226 · 36 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11+ 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23007,-958113] |
[a1,a2,a3,a4,a6] |
Generators |
[186:3129:1] |
Generators of the group modulo torsion |
j |
5137417856375/4510142208 |
j-invariant |
L |
7.6107937956965 |
L(r)(E,1)/r! |
Ω |
0.26791185713417 |
Real period |
R |
4.7346378998852 |
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 |
27456n1 6864q1 82368en1 |
Quadratic twists by: -4 8 -3 |