Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080m |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-1772093440 = -1 · 221 · 5 · 132 |
Discriminant |
Eigenvalues |
2+ 2 5+ 1 3 13+ -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-641,6785] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:12:1] |
Generators of the group modulo torsion |
j |
-658489/40 |
j-invariant |
L |
9.0812353318618 |
L(r)(E,1)/r! |
Ω |
1.4673488512518 |
Real period |
R |
3.094436378954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54080cj1 1690h1 54080bm1 |
Quadratic twists by: -4 8 13 |