Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114444b |
Isogeny class |
Conductor |
114444 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
-182871602911579824 = -1 · 24 · 316 · 11 · 176 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11+ 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-201144,-40360295] |
[a1,a2,a3,a4,a6] |
Generators |
[228333848:-19954855035:29791] |
Generators of the group modulo torsion |
j |
-3196715008/649539 |
j-invariant |
L |
7.7196711599554 |
L(r)(E,1)/r! |
Ω |
0.11149917443607 |
Real period |
R |
11.539205265427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941631 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38148n1 396a1 |
Quadratic twists by: -3 17 |