Atkin-Lehner |
2+ 3+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
86112a |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7207648800768 = 212 · 39 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 4 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25164,-1531008] |
[a1,a2,a3,a4,a6] |
j |
21858054336/89401 |
j-invariant |
L |
3.0332029668853 |
L(r)(E,1)/r! |
Ω |
0.37915037536651 |
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 |
86112e2 86112u2 |
Quadratic twists by: -4 -3 |