Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1056d |
Isogeny class |
Conductor |
1056 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
15054336 = 29 · 35 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-313632,67500540] |
[a1,a2,a3,a4,a6] |
j |
6663712298552914184/29403 |
j-invariant |
L |
2.6532806719837 |
L(r)(E,1)/r! |
Ω |
1.0613122687935 |
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 |
1056g2 2112h3 3168z2 26400bg4 |
Quadratic twists by: -4 8 -3 5 |