Atkin-Lehner |
2- 3- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
84420bd |
Isogeny class |
Conductor |
84420 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-6.5474231370371E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50253447,-137174021714] |
[a1,a2,a3,a4,a6] |
j |
-75206224644465874575184/35083500177025125 |
j-invariant |
L |
4.0825211294112 |
L(r)(E,1)/r! |
Ω |
0.028350840760727 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28140p2 |
Quadratic twists by: -3 |