Atkin-Lehner |
2- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32110bk |
Isogeny class |
Conductor |
32110 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-52178750000 = -1 · 24 · 57 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- 3 -2 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2155,-40223] |
[a1,a2,a3,a4,a6] |
Generators |
[144:1553:1] |
Generators of the group modulo torsion |
j |
-503788296493/23750000 |
j-invariant |
L |
11.364297570353 |
L(r)(E,1)/r! |
Ω |
0.34939232057663 |
Real period |
R |
0.58081953504289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32110i1 |
Quadratic twists by: 13 |