Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840ec |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
5345280 = 212 · 32 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-185,903] |
[a1,a2,a3,a4,a6] |
j |
171879616/1305 |
j-invariant |
L |
4.8551630760626 |
L(r)(E,1)/r! |
Ω |
2.427581538031 |
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 |
27840db1 13920v1 83520fj1 |
Quadratic twists by: -4 8 -3 |