Atkin-Lehner |
2- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27328q |
Isogeny class |
Conductor |
27328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
111935488 = 218 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 1 4 7+ -3 4 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-481,-4193] |
[a1,a2,a3,a4,a6] |
j |
47045881/427 |
j-invariant |
L |
4.07930274699 |
L(r)(E,1)/r! |
Ω |
1.0198256867475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27328g1 6832g1 |
Quadratic twists by: -4 8 |