Atkin-Lehner |
2- 3+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
19392z |
Isogeny class |
Conductor |
19392 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-9928704 = -1 · 215 · 3 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 2 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-129,-543] |
[a1,a2,a3,a4,a6] |
j |
-7301384/303 |
j-invariant |
L |
1.4122705561668 |
L(r)(E,1)/r! |
Ω |
0.70613527808339 |
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 |
19392bm1 9696j1 58176cq1 |
Quadratic twists by: -4 8 -3 |