Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150cv |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-1102637835937500 = -1 · 22 · 3 · 59 · 196 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27263,2354517] |
[a1,a2,a3,a4,a6] |
Generators |
[8910:1448931:1000] |
Generators of the group modulo torsion |
j |
-24389/12 |
j-invariant |
L |
12.655738861616 |
L(r)(E,1)/r! |
Ω |
0.45666287344452 |
Real period |
R |
6.9283817436908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54150m1 150b1 |
Quadratic twists by: 5 -19 |