Atkin-Lehner |
3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
126075bg |
Isogeny class |
Conductor |
126075 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
9979200 |
Modular degree for the optimal curve |
Δ |
-1.4974017081249E+21 |
Discriminant |
Eigenvalues |
-2 3- 5- 4 0 -2 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-7914708,-8772915256] |
[a1,a2,a3,a4,a6] |
Generators |
[5439:330316:1] |
Generators of the group modulo torsion |
j |
-29550530560/807003 |
j-invariant |
L |
5.2494996585198 |
L(r)(E,1)/r! |
Ω |
0.04493256446412 |
Real period |
R |
3.2452951191361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000192924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126075j1 3075e1 |
Quadratic twists by: 5 41 |