Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456bj |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1174238208 = 210 · 36 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11+ 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2133,-37179] |
[a1,a2,a3,a4,a6] |
j |
1048576000000/1146717 |
j-invariant |
L |
1.4050552007092 |
L(r)(E,1)/r! |
Ω |
0.70252760035457 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27456bd1 6864z1 82368el1 |
Quadratic twists by: -4 8 -3 |