Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18648u |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1788417792 = -1 · 28 · 36 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 0 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,225,-1566] |
[a1,a2,a3,a4,a6] |
Generators |
[15:72:1] |
Generators of the group modulo torsion |
j |
6750000/9583 |
j-invariant |
L |
4.5809308703356 |
L(r)(E,1)/r! |
Ω |
0.79011056476266 |
Real period |
R |
1.4494588082466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37296t2 2072a2 |
Quadratic twists by: -4 -3 |