Atkin-Lehner |
2- 3- 89- |
Signs for the Atkin-Lehner involutions |
Class |
12816k |
Isogeny class |
Conductor |
12816 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-6315078463488 = -1 · 212 · 37 · 893 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3840,-78928] |
[a1,a2,a3,a4,a6] |
j |
2097152000/2114907 |
j-invariant |
L |
2.4565616606403 |
L(r)(E,1)/r! |
Ω |
0.40942694344004 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
801c2 51264bh2 4272c2 |
Quadratic twists by: -4 8 -3 |