Atkin-Lehner |
3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99099bu |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2332800 |
Modular degree for the optimal curve |
Δ |
39194219583011493 = 36 · 710 · 114 · 13 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 11- 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5492939,-4953749754] |
[a1,a2,a3,a4,a6] |
j |
1717274406596164537/3672178237 |
j-invariant |
L |
0.98616205229389 |
L(r)(E,1)/r! |
Ω |
0.098616236056977 |
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 |
11011k1 99099bg1 |
Quadratic twists by: -3 -11 |