Atkin-Lehner |
2- 3+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
96048p |
Isogeny class |
Conductor |
96048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4063132086768 = -1 · 24 · 39 · 232 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 3 5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-159705,24565707] |
[a1,a2,a3,a4,a6] |
j |
-1430434500768000/12901781 |
j-invariant |
L |
2.8163195412865 |
L(r)(E,1)/r! |
Ω |
0.70407983985072 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24012c2 96048r1 |
Quadratic twists by: -4 -3 |