Atkin-Lehner |
3- 5- 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
48645g |
Isogeny class |
Conductor |
48645 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
43126474055625 = 310 · 54 · 232 · 472 |
Discriminant |
Eigenvalues |
1 3- 5- 4 4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31824,-2154245] |
[a1,a2,a3,a4,a6] |
j |
4889541735007489/59158400625 |
j-invariant |
L |
5.7233185648864 |
L(r)(E,1)/r! |
Ω |
0.35770741030386 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16215a2 |
Quadratic twists by: -3 |