Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456cc |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
4275640512 = 26 · 33 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 3- -4 2 11+ 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-560,3834] |
[a1,a2,a3,a4,a6] |
Generators |
[25:78:1] |
Generators of the group modulo torsion |
j |
304006671424/66806883 |
j-invariant |
L |
5.3205258091668 |
L(r)(E,1)/r! |
Ω |
1.3054619990356 |
Real period |
R |
1.358529474137 |
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 |
27456bu1 13728h2 82368ev1 |
Quadratic twists by: -4 8 -3 |