Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14450bk |
Isogeny class |
Conductor |
14450 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
61200 |
Modular degree for the optimal curve |
Δ |
-73984000000000 = -1 · 217 · 59 · 172 |
Discriminant |
Eigenvalues |
2- -2 5- 3 -3 3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16513,-916983] |
[a1,a2,a3,a4,a6] |
Generators |
[202:1899:1] |
Generators of the group modulo torsion |
j |
-882216989/131072 |
j-invariant |
L |
5.4506585094599 |
L(r)(E,1)/r! |
Ω |
0.20886295907872 |
Real period |
R |
0.7675534536113 |
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 |
115600db1 14450n1 14450bl2 |
Quadratic twists by: -4 5 17 |