Atkin-Lehner |
2+ 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
86112p |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-150884757504 = -1 · 212 · 36 · 133 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 3 4 1 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2856,61648] |
[a1,a2,a3,a4,a6] |
j |
-862801408/50531 |
j-invariant |
L |
6.083109603143 |
L(r)(E,1)/r! |
Ω |
1.0138516147356 |
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 |
86112bh1 9568j1 |
Quadratic twists by: -4 -3 |