Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
5922h |
Isogeny class |
Conductor |
5922 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-2961556668 = -1 · 22 · 38 · 74 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-873,10489] |
[a1,a2,a3,a4,a6] |
Generators |
[8:59:1] |
Generators of the group modulo torsion |
j |
-100999381393/4062492 |
j-invariant |
L |
2.5253310546252 |
L(r)(E,1)/r! |
Ω |
1.4154600019844 |
Real period |
R |
0.2230132828802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47376bi1 1974g1 41454bc1 |
Quadratic twists by: -4 -3 -7 |