Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050io |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
233280 |
Modular degree for the optimal curve |
Δ |
-1674125145000 = -1 · 23 · 33 · 54 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2962,5292] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1744:1] |
Generators of the group modulo torsion |
j |
2595575/1512 |
j-invariant |
L |
13.325726585927 |
L(r)(E,1)/r! |
Ω |
0.5077940117658 |
Real period |
R |
0.485970111321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000086243 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050v1 1050j1 |
Quadratic twists by: 5 -11 |