Atkin-Lehner |
2- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
3956a |
Isogeny class |
Conductor |
3956 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
528 |
Modular degree for the optimal curve |
Δ |
-680432 = -1 · 24 · 23 · 432 |
Discriminant |
Eigenvalues |
2- -1 2 2 -2 3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-162,-743] |
[a1,a2,a3,a4,a6] |
Generators |
[18:43:1] |
Generators of the group modulo torsion |
j |
-29568333568/42527 |
j-invariant |
L |
3.5193467502868 |
L(r)(E,1)/r! |
Ω |
0.66869825319764 |
Real period |
R |
0.87716363682665 |
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 |
15824h1 63296b1 35604k1 98900j1 |
Quadratic twists by: -4 8 -3 5 |