Atkin-Lehner |
2- 3- 5+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
81090be |
Isogeny class |
Conductor |
81090 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
deg |
3833856 |
Modular degree for the optimal curve |
Δ |
1.6878969467752E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -6 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1325558,-552828923] |
[a1,a2,a3,a4,a6] |
Generators |
[-727:5483:1] |
Generators of the group modulo torsion |
j |
353339411996219741721/23153593234227200 |
j-invariant |
L |
10.243821156448 |
L(r)(E,1)/r! |
Ω |
0.14128075230019 |
Real period |
R |
1.3943623426041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9010c1 |
Quadratic twists by: -3 |