Atkin-Lehner |
2+ 7+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
44744a |
Isogeny class |
Conductor |
44744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23808 |
Modular degree for the optimal curve |
Δ |
5727232 = 210 · 7 · 17 · 47 |
Discriminant |
Eigenvalues |
2+ 0 -4 7+ 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1867,-31050] |
[a1,a2,a3,a4,a6] |
j |
702840387204/5593 |
j-invariant |
L |
1.4525921010144 |
L(r)(E,1)/r! |
Ω |
0.72629605053072 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89488b1 |
Quadratic twists by: -4 |