Atkin-Lehner |
2+ 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
36162bk |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-6.8963334861754E+19 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 1 4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1453545,784331743] |
[a1,a2,a3,a4,a6] |
j |
-3959985141923329/804085973082 |
j-invariant |
L |
2.9913055385346 |
L(r)(E,1)/r! |
Ω |
0.18695659615835 |
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 |
12054bd1 5166l1 |
Quadratic twists by: -3 -7 |