Atkin-Lehner |
2- 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36822w |
Isogeny class |
Conductor |
36822 |
Conductor |
∏ cp |
486 |
Product of Tamagawa factors cp |
deg |
7534944 |
Modular degree for the optimal curve |
Δ |
-4.3053333785445E+23 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 3 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-503422,-31569391804] |
[a1,a2,a3,a4,a6] |
Generators |
[3356:65714:1] |
Generators of the group modulo torsion |
j |
-830790516673/25350000869376 |
j-invariant |
L |
7.5046304752575 |
L(r)(E,1)/r! |
Ω |
0.042977250223854 |
Real period |
R |
3.2336791606441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
110466o1 36822e1 |
Quadratic twists by: -3 -19 |