Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510da |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-5.7683800406708E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2071147,-138543163] |
[a1,a2,a3,a4,a6] |
j |
11456208593737991/6725709375000 |
j-invariant |
L |
4.6131080166619 |
L(r)(E,1)/r! |
Ω |
0.096106417009047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bf4 6930bi4 |
Quadratic twists by: -3 -7 |