Atkin-Lehner |
2+ 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
11682l |
Isogeny class |
Conductor |
11682 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-4782696919704 = -1 · 23 · 37 · 113 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 11- -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,972,104328] |
[a1,a2,a3,a4,a6] |
j |
139233463487/6560626776 |
j-invariant |
L |
2.339579348718 |
L(r)(E,1)/r! |
Ω |
0.5848948371795 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
93456be2 3894o2 128502cf2 |
Quadratic twists by: -4 -3 -11 |