Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050jl |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
5472000 |
Modular degree for the optimal curve |
Δ |
-8443897764766406250 = -1 · 2 · 3 · 58 · 75 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 5 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3896263,2963171267] |
[a1,a2,a3,a4,a6] |
j |
-9452623635625/12201882 |
j-invariant |
L |
6.9573271934326 |
L(r)(E,1)/r! |
Ω |
0.23191094433866 |
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 |
127050j1 11550be1 |
Quadratic twists by: 5 -11 |