Atkin-Lehner |
2+ 3- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
16218i |
Isogeny class |
Conductor |
16218 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
72640032768 = 212 · 39 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 0 -7 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2547,-47115] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:30:1] [-26:45:1] |
Generators of the group modulo torsion |
j |
2507141976625/99643392 |
j-invariant |
L |
5.1659730397838 |
L(r)(E,1)/r! |
Ω |
0.67366974490867 |
Real period |
R |
0.95855073625214 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129744bv1 5406h1 |
Quadratic twists by: -4 -3 |