Atkin-Lehner |
2+ 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
86112q |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-433793677824 = -1 · 29 · 36 · 133 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 3 -5 -2 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88851,-10193978] |
[a1,a2,a3,a4,a6] |
j |
-207832366624904/1162213 |
j-invariant |
L |
1.6591478177324 |
L(r)(E,1)/r! |
Ω |
0.13826231788107 |
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 |
86112bi1 9568k1 |
Quadratic twists by: -4 -3 |