Atkin-Lehner |
2- 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24360ba |
Isogeny class |
Conductor |
24360 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-1.2772168744961E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,334784,1717947920] |
[a1,a2,a3,a4,a6] |
j |
4052439503890622204/1247282104000078125 |
j-invariant |
L |
4.2706356237817 |
L(r)(E,1)/r! |
Ω |
0.11862876732727 |
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 |
48720d2 73080u2 121800f2 |
Quadratic twists by: -4 -3 5 |