Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296cm |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-265675240980912 = -1 · 24 · 3 · 76 · 196 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40913,-3294018] |
[a1,a2,a3,a4,a6] |
j |
-10061824000/352947 |
j-invariant |
L |
3.0149587288053 |
L(r)(E,1)/r! |
Ω |
0.16749773566949 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30324c3 336a3 |
Quadratic twists by: -4 -19 |