Atkin-Lehner |
2+ 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
48048z |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
3.5028135743501E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37842992,-89162786892] |
[a1,a2,a3,a4,a6] |
j |
2926511055611068283021666/17103581906006206611 |
j-invariant |
L |
3.8970503610669 |
L(r)(E,1)/r! |
Ω |
0.0608914118902 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24024v3 |
Quadratic twists by: -4 |