Atkin-Lehner |
2- 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16368s |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
7854341486542848 = 222 · 311 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11+ -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-644248,-199203436] |
[a1,a2,a3,a4,a6] |
Generators |
[-460:162:1] |
Generators of the group modulo torsion |
j |
7219775199978393625/1917563839488 |
j-invariant |
L |
4.9947985247725 |
L(r)(E,1)/r! |
Ω |
0.16851677950274 |
Real period |
R |
1.3472622563196 |
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 |
2046b1 65472br1 49104bm1 |
Quadratic twists by: -4 8 -3 |