Atkin-Lehner |
2- 3- 5- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
47430bk |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
Δ |
-1.3411840459958E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 3 5 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-155147,-557646181] |
[a1,a2,a3,a4,a6] |
j |
-566531035625599849/183975863648256000 |
j-invariant |
L |
4.9604584393091 |
L(r)(E,1)/r! |
Ω |
0.082674307323814 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
15810e2 |
Quadratic twists by: -3 |