Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
74592bl |
Isogeny class |
Conductor |
74592 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-29992213476288 = -1 · 26 · 36 · 73 · 374 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7185,352672] |
[a1,a2,a3,a4,a6] |
j |
-879217912000/642837223 |
j-invariant |
L |
3.6518087760847 |
L(r)(E,1)/r! |
Ω |
0.60863479113734 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74592z1 8288g1 |
Quadratic twists by: -4 -3 |