Atkin-Lehner |
2- 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
111540bf |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-17106610950000 = -1 · 24 · 32 · 55 · 113 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- 13+ 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5126,-245751] |
[a1,a2,a3,a4,a6] |
j |
-32602495744/37434375 |
j-invariant |
L |
4.8616073249118 |
L(r)(E,1)/r! |
Ω |
0.27008928319772 |
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 |
111540bk1 |
Quadratic twists by: 13 |