Atkin-Lehner |
2+ 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
11682k |
Isogeny class |
Conductor |
11682 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
559527159266279424 = 222 · 310 · 11 · 593 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-368298,78232180] |
[a1,a2,a3,a4,a6] |
j |
7578703708393682593/767526967443456 |
j-invariant |
L |
1.6982312701825 |
L(r)(E,1)/r! |
Ω |
0.28303854503042 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93456bd1 3894h1 128502ce1 |
Quadratic twists by: -4 -3 -11 |