Atkin-Lehner |
3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99099bv |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5370624 |
Modular degree for the optimal curve |
Δ |
-9.2276490224892E+19 |
Discriminant |
Eigenvalues |
-1 3- -4 7- 11- 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4749152,-4009101060] |
[a1,a2,a3,a4,a6] |
j |
-1109873716015912969/8645553420777 |
j-invariant |
L |
0.20444325779548 |
L(r)(E,1)/r! |
Ω |
0.051110903896793 |
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 |
33033n1 99099bi1 |
Quadratic twists by: -3 -11 |