Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050jn |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
12257280 |
Modular degree for the optimal curve |
Δ |
-1.5387185965262E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 5 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6026138,-5998992108] |
[a1,a2,a3,a4,a6] |
j |
-512030145192547465/32554707496752 |
j-invariant |
L |
8.0644593609256 |
L(r)(E,1)/r! |
Ω |
0.048002732963286 |
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 |
127050l1 127050ec1 |
Quadratic twists by: 5 -11 |