Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050jm |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-189143309930767500 = -1 · 22 · 3 · 54 · 76 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1987488,-1078830708] |
[a1,a2,a3,a4,a6] |
j |
-6480608299825/1411788 |
j-invariant |
L |
6.8661220628115 |
L(r)(E,1)/r! |
Ω |
0.063575202659279 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050k2 127050eb2 |
Quadratic twists by: 5 -11 |