Atkin-Lehner |
2- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
22748c |
Isogeny class |
Conductor |
22748 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-11020073149184 = -1 · 28 · 117 · 472 |
Discriminant |
Eigenvalues |
2- 1 -1 0 11- 0 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1159341,480082271] |
[a1,a2,a3,a4,a6] |
Generators |
[4970:47:8] |
Generators of the group modulo torsion |
j |
-379980749676544/24299 |
j-invariant |
L |
5.4831219322787 |
L(r)(E,1)/r! |
Ω |
0.54354380724251 |
Real period |
R |
2.521931930425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90992x1 2068c1 |
Quadratic twists by: -4 -11 |