Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18648z |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
6499013584896 = 211 · 36 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13179,569270] |
[a1,a2,a3,a4,a6] |
Generators |
[2146:32335:8] |
Generators of the group modulo torsion |
j |
169556172914/4353013 |
j-invariant |
L |
5.2346481744827 |
L(r)(E,1)/r! |
Ω |
0.74939093241463 |
Real period |
R |
6.9852035140271 |
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 |
37296ba2 2072c2 |
Quadratic twists by: -4 -3 |