Atkin-Lehner |
2+ 3+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
86112a |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
827508591936 = 26 · 39 · 134 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 4 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2349,2160] |
[a1,a2,a3,a4,a6] |
j |
1137893184/656903 |
j-invariant |
L |
3.0332029668853 |
L(r)(E,1)/r! |
Ω |
0.75830075073301 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86112e1 86112u1 |
Quadratic twists by: -4 -3 |