Atkin-Lehner |
3- 7+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
44289f |
Isogeny class |
Conductor |
44289 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-542642247567 = -1 · 38 · 76 · 19 · 37 |
Discriminant |
Eigenvalues |
-1 3- 4 7+ 4 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,157,35394] |
[a1,a2,a3,a4,a6] |
j |
590589719/744365223 |
j-invariant |
L |
2.8919810648519 |
L(r)(E,1)/r! |
Ω |
0.72299526623771 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14763b1 |
Quadratic twists by: -3 |