Atkin-Lehner |
3- 7- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
127743bk |
Isogeny class |
Conductor |
127743 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
1919232 |
Modular degree for the optimal curve |
Δ |
-4.5288274669605E+19 |
Discriminant |
Eigenvalues |
0 3- 0 7- 11- 1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1211933,-607485112] |
[a1,a2,a3,a4,a6] |
Generators |
[16186:2054398:1] |
Generators of the group modulo torsion |
j |
-4878401536000000/1122285665061 |
j-invariant |
L |
7.3868100389307 |
L(r)(E,1)/r! |
Ω |
0.071076469675511 |
Real period |
R |
1.2372338491003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127743o1 |
Quadratic twists by: -7 |