Atkin-Lehner |
2+ 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
86112n |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7700479488 = 29 · 37 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 0 13- -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3675,-85646] |
[a1,a2,a3,a4,a6] |
j |
14706125000/20631 |
j-invariant |
L |
2.4529109915956 |
L(r)(E,1)/r! |
Ω |
0.61322776096136 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86112bc2 28704t2 |
Quadratic twists by: -4 -3 |