Atkin-Lehner |
2- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48400bk |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-85184000000 = -1 · 212 · 56 · 113 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 11+ 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2933,-61763] |
[a1,a2,a3,a4,a6] |
j |
-32768 |
j-invariant |
L |
0.64755835930918 |
L(r)(E,1)/r! |
Ω |
0.32377917947829 |
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 |
3025a1 1936f1 48400bk2 |
Quadratic twists by: -4 5 -11 |