Atkin-Lehner |
2- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
48884b |
Isogeny class |
Conductor |
48884 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-50889889630976 = -1 · 28 · 117 · 1012 |
Discriminant |
Eigenvalues |
2- -1 1 -4 11- -4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20005,-1135231] |
[a1,a2,a3,a4,a6] |
Generators |
[851:24442:1] |
Generators of the group modulo torsion |
j |
-1952382976/112211 |
j-invariant |
L |
2.9254650484823 |
L(r)(E,1)/r! |
Ω |
0.20004935808675 |
Real period |
R |
0.6093215103821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4444a1 |
Quadratic twists by: -11 |