Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
36162db |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1050624 |
Modular degree for the optimal curve |
Δ |
-1.1402096354545E+19 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-917951,-375251187] |
[a1,a2,a3,a4,a6] |
Generators |
[20467106:739616355:10648] |
Generators of the group modulo torsion |
j |
-997392270041497/132944060214 |
j-invariant |
L |
11.039671039756 |
L(r)(E,1)/r! |
Ω |
0.076551224210812 |
Real period |
R |
6.0088691992228 |
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 |
12054d1 5166bg1 |
Quadratic twists by: -3 -7 |