Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27342bf |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
2511472068 = 22 · 310 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-419,-2145] |
[a1,a2,a3,a4,a6] |
j |
32461759/10044 |
j-invariant |
L |
4.3237754968832 |
L(r)(E,1)/r! |
Ω |
1.0809438742209 |
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 |
9114c1 27342br1 |
Quadratic twists by: -3 -7 |