Atkin-Lehner |
11+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
9911a |
Isogeny class |
Conductor |
9911 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-1596176461 = -1 · 116 · 17 · 53 |
Discriminant |
Eigenvalues |
-1 2 -3 -1 11+ 5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-332,-3158] |
[a1,a2,a3,a4,a6] |
Generators |
[1556:3183:64] |
Generators of the group modulo torsion |
j |
-4047806261953/1596176461 |
j-invariant |
L |
3.0238104878384 |
L(r)(E,1)/r! |
Ω |
0.54852326399469 |
Real period |
R |
2.7563192724199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89199j1 109021n1 |
Quadratic twists by: -3 -11 |