Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14450z |
Isogeny class |
Conductor |
14450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-64115417656250 = -1 · 2 · 57 · 177 |
Discriminant |
Eigenvalues |
2- 3 5+ 2 4 3 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-73605,-7677353] |
[a1,a2,a3,a4,a6] |
j |
-116930169/170 |
j-invariant |
L |
9.274389161922 |
L(r)(E,1)/r! |
Ω |
0.14491233065503 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115600ce1 2890l1 850j1 |
Quadratic twists by: -4 5 17 |