Atkin-Lehner |
3- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
111843i |
Isogeny class |
Conductor |
111843 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-756640375443 = -1 · 36 · 176 · 43 |
Discriminant |
Eigenvalues |
2 3- -4 0 3 -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-867,-42989] |
[a1,a2,a3,a4,a6] |
j |
-4096/43 |
j-invariant |
L |
0.7635345532413 |
L(r)(E,1)/r! |
Ω |
0.38176743821224 |
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 |
12427b1 387e1 |
Quadratic twists by: -3 17 |