Atkin-Lehner |
2- 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16368q |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
299281416192 = 220 · 33 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11- 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2744,-47760] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:14:1] |
Generators of the group modulo torsion |
j |
558051585337/73066752 |
j-invariant |
L |
4.0221599228183 |
L(r)(E,1)/r! |
Ω |
0.66531351662392 |
Real period |
R |
3.0227553043176 |
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 |
2046e1 65472cf1 49104be1 |
Quadratic twists by: -4 8 -3 |