Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050ed |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-9.6172493721184E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 7 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1765073951,32206956994298] |
[a1,a2,a3,a4,a6] |
j |
-878812616455788778465/138974375664304488 |
j-invariant |
L |
2.930308038373 |
L(r)(E,1)/r! |
Ω |
0.032558966796894 |
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 |
127050gj2 11550cs2 |
Quadratic twists by: 5 -11 |