Atkin-Lehner |
3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
12705m |
Isogeny class |
Conductor |
12705 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.3484194048497E+21 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3078848,-1096801477] |
[a1,a2,a3,a4,a6] |
j |
1821931919215868881/761147600816295 |
j-invariant |
L |
2.838718943897 |
L(r)(E,1)/r! |
Ω |
0.11827995599571 |
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 |
38115m3 63525r3 88935m3 1155m4 |
Quadratic twists by: -3 5 -7 -11 |