Atkin-Lehner |
2- 3+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
27888s |
Isogeny class |
Conductor |
27888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-1406140848 = -1 · 24 · 32 · 76 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 0 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,135,1656] |
[a1,a2,a3,a4,a6] |
j |
16880451584/87883803 |
j-invariant |
L |
1.0930786914531 |
L(r)(E,1)/r! |
Ω |
1.0930786914529 |
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 |
6972f1 111552dg1 83664bu1 |
Quadratic twists by: -4 8 -3 |