Atkin-Lehner |
2- 3- 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650cx |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-171239062500 = -1 · 22 · 35 · 58 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 3 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12388,-532108] |
[a1,a2,a3,a4,a6] |
Generators |
[152:974:1] |
Generators of the group modulo torsion |
j |
-538231930465/438372 |
j-invariant |
L |
13.612831854619 |
L(r)(E,1)/r! |
Ω |
0.22625483310204 |
Real period |
R |
2.0055309123499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992492 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67650j1 |
Quadratic twists by: 5 |