Atkin-Lehner |
3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99099bo |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-1356566211 = -1 · 36 · 7 · 112 · 133 |
Discriminant |
Eigenvalues |
0 3- 1 7- 11- 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,198,-1411] |
[a1,a2,a3,a4,a6] |
j |
9732096/15379 |
j-invariant |
L |
1.6071249274709 |
L(r)(E,1)/r! |
Ω |
0.80356245652402 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11011j1 99099w1 |
Quadratic twists by: -3 -11 |