Atkin-Lehner |
2- 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36822be |
Isogeny class |
Conductor |
36822 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-294576 = -1 · 24 · 3 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- -3 2 3 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17,-39] |
[a1,a2,a3,a4,a6] |
Generators |
[12:33:1] |
Generators of the group modulo torsion |
j |
-1510633/816 |
j-invariant |
L |
9.9204888609723 |
L(r)(E,1)/r! |
Ω |
1.1463067765869 |
Real period |
R |
2.1635763356712 |
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 |
110466j1 36822g1 |
Quadratic twists by: -3 -19 |