Atkin-Lehner |
3+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32079b |
Isogeny class |
Conductor |
32079 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2154240 |
Modular degree for the optimal curve |
Δ |
-3.5469740553765E+20 |
Discriminant |
Eigenvalues |
-1 3+ 3 5 -5 2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3627534,2807913888] |
[a1,a2,a3,a4,a6] |
Generators |
[6762503:449090644:1331] |
Generators of the group modulo torsion |
j |
-44516181271121/2991008997 |
j-invariant |
L |
4.2639033267916 |
L(r)(E,1)/r! |
Ω |
0.16746813921008 |
Real period |
R |
6.3652455728349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96237j1 32079e1 |
Quadratic twists by: -3 17 |