Atkin-Lehner |
2+ 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050cb |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
19872000 |
Modular degree for the optimal curve |
Δ |
-7.2278110551736E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- 1 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4414925,40749302125] |
[a1,a2,a3,a4,a6] |
j |
13752365416655/1044457193472 |
j-invariant |
L |
1.24082710578 |
L(r)(E,1)/r! |
Ω |
0.068934785146536 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050hf1 11550bw1 |
Quadratic twists by: 5 -11 |