Atkin-Lehner |
2+ 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
12768d |
Isogeny class |
Conductor |
12768 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.0302776483007E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ 2 2 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-214166561,1206328872273] |
[a1,a2,a3,a4,a6] |
j |
265227624284867472408445504/25153262897967247743 |
j-invariant |
L |
3.2502906054418 |
L(r)(E,1)/r! |
Ω |
0.10157158142006 |
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 |
12768bd2 25536bf1 38304bl2 89376u2 |
Quadratic twists by: -4 8 -3 -7 |