Atkin-Lehner |
3- 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
48675k |
Isogeny class |
Conductor |
48675 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1.4320060091888E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,155874,180532273] |
[a1,a2,a3,a4,a6] |
j |
26805797482094639/916483845880845 |
j-invariant |
L |
4.030004798803 |
L(r)(E,1)/r! |
Ω |
0.16791686663289 |
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 |
9735d4 |
Quadratic twists by: 5 |