Atkin-Lehner |
2- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
48884c |
Isogeny class |
Conductor |
48884 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-38234327296 = -1 · 28 · 114 · 1012 |
Discriminant |
Eigenvalues |
2- -2 -3 2 11- 1 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1492,23604] |
[a1,a2,a3,a4,a6] |
Generators |
[43:202:1] |
Generators of the group modulo torsion |
j |
-98064208/10201 |
j-invariant |
L |
3.4230194384209 |
L(r)(E,1)/r! |
Ω |
1.1234329381749 |
Real period |
R |
1.5234640725369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999789 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48884e1 |
Quadratic twists by: -11 |