Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456bs |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-21554490507264 = -1 · 222 · 33 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9857,-434655] |
[a1,a2,a3,a4,a6] |
Generators |
[3835:237380:1] |
Generators of the group modulo torsion |
j |
-404075127457/82223856 |
j-invariant |
L |
5.4745952557348 |
L(r)(E,1)/r! |
Ω |
0.23697491197365 |
Real period |
R |
5.7755008854519 |
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 |
27456y1 6864w1 82368dr1 |
Quadratic twists by: -4 8 -3 |