Atkin-Lehner |
3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
99099be |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
-4.424977722612E+21 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 11- 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3773952,4267811587] |
[a1,a2,a3,a4,a6] |
j |
-4602875775513625/3426316276383 |
j-invariant |
L |
3.0448534616194 |
L(r)(E,1)/r! |
Ω |
0.12686889431593 |
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 |
33033g1 9009k1 |
Quadratic twists by: -3 -11 |