Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
23232bj |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
65421312 = 214 · 3 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11+ 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-689,-7185] |
[a1,a2,a3,a4,a6] |
j |
1661168/3 |
j-invariant |
L |
1.8636714120589 |
L(r)(E,1)/r! |
Ω |
0.93183570602942 |
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 |
23232cq2 2904a2 69696bb2 23232bk2 |
Quadratic twists by: -4 8 -3 -11 |