Atkin-Lehner |
2+ 3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
27090ba |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-27648054000 = -1 · 24 · 38 · 53 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,756,0] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-168:1] |
Generators of the group modulo torsion |
j |
65499561791/37926000 |
j-invariant |
L |
4.8045950395296 |
L(r)(E,1)/r! |
Ω |
0.70939498566767 |
Real period |
R |
0.56440054983469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030x1 |
Quadratic twists by: -3 |