Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121296i |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
21681902592 = 210 · 32 · 73 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 6 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-139048,-19910720] |
[a1,a2,a3,a4,a6] |
j |
42331174235500/3087 |
j-invariant |
L |
2.9668076624401 |
L(r)(E,1)/r! |
Ω |
0.24723395120779 |
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 |
60648bc2 121296be2 |
Quadratic twists by: -4 -19 |