Atkin-Lehner |
2+ 3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9048c |
Isogeny class |
Conductor |
9048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
18363241728 = 28 · 38 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -2 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-852,-6732] |
[a1,a2,a3,a4,a6] |
j |
267492843088/71731413 |
j-invariant |
L |
1.8025733969951 |
L(r)(E,1)/r! |
Ω |
0.90128669849753 |
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 |
18096m2 72384be2 27144r2 117624bg2 |
Quadratic twists by: -4 8 -3 13 |