Atkin-Lehner |
2- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
7568i |
Isogeny class |
Conductor |
7568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
696 |
Modular degree for the optimal curve |
Δ |
-83248 = -1 · 24 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 2 -2 -4 11+ -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11,0] |
[a1,a2,a3,a4,a6] |
j |
8388608/5203 |
j-invariant |
L |
1.0563695758503 |
L(r)(E,1)/r! |
Ω |
2.1127391517005 |
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 |
1892e1 30272bj1 68112ce1 83248bp1 |
Quadratic twists by: -4 8 -3 -11 |