Atkin-Lehner |
2+ 3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9048d |
Isogeny class |
Conductor |
9048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
1147702608 = 24 · 38 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 6 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-787,8608] |
[a1,a2,a3,a4,a6] |
j |
3373491693568/71731413 |
j-invariant |
L |
3.0858636310297 |
L(r)(E,1)/r! |
Ω |
1.5429318155148 |
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 |
18096n1 72384bf1 27144t1 117624bi1 |
Quadratic twists by: -4 8 -3 13 |