Atkin-Lehner |
3- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
36663h |
Isogeny class |
Conductor |
36663 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
156800 |
Modular degree for the optimal curve |
Δ |
855805455805509 = 314 · 116 · 101 |
Discriminant |
Eigenvalues |
0 3- -3 0 11- 3 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-23877,181055] |
[a1,a2,a3,a4,a6] |
Generators |
[315:-4901:1] |
Generators of the group modulo torsion |
j |
849816322048/483079869 |
j-invariant |
L |
4.7947639103729 |
L(r)(E,1)/r! |
Ω |
0.42984481205998 |
Real period |
R |
0.39837998138667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109989m1 303a1 |
Quadratic twists by: -3 -11 |