Atkin-Lehner |
3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
99099bc |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8616960 |
Modular degree for the optimal curve |
Δ |
-2.7105534149623E+22 |
Discriminant |
Eigenvalues |
0 3- 3 7+ 11- 13- -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1669074,-7877527826] |
[a1,a2,a3,a4,a6] |
j |
27195441152/1433519451 |
j-invariant |
L |
2.8373824212794 |
L(r)(E,1)/r! |
Ω |
0.056747650560078 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33033f1 99099bs1 |
Quadratic twists by: -3 -11 |