Atkin-Lehner |
2- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111320t |
Isogeny class |
Conductor |
111320 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-356224000 = -1 · 210 · 53 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 2 5- 3 11- -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,-900] |
[a1,a2,a3,a4,a6] |
j |
-58564/2875 |
j-invariant |
L |
4.4759912254797 |
L(r)(E,1)/r! |
Ω |
0.74599850457255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111320k1 |
Quadratic twists by: -11 |