Atkin-Lehner |
2- 3- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
18060o |
Isogeny class |
Conductor |
18060 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
9752400 = 24 · 34 · 52 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85,-292] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:3:1] |
Generators of the group modulo torsion |
j |
4294967296/609525 |
j-invariant |
L |
6.784705169267 |
L(r)(E,1)/r! |
Ω |
1.5856366940328 |
Real period |
R |
0.71314204516917 |
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 |
72240bx1 54180k1 90300f1 126420b1 |
Quadratic twists by: -4 -3 5 -7 |