Atkin-Lehner |
2- 3+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
16368p |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
68585324544 = 216 · 32 · 112 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1024,1024] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:62:1] |
Generators of the group modulo torsion |
j |
29019350017/16744464 |
j-invariant |
L |
2.6151471458141 |
L(r)(E,1)/r! |
Ω |
0.93377183755623 |
Real period |
R |
1.4003137815005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2046i2 65472cs2 49104bu2 |
Quadratic twists by: -4 8 -3 |