Atkin-Lehner |
2+ 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16368j |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-5363809968 = -1 · 24 · 3 · 112 · 314 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-199,3620] |
[a1,a2,a3,a4,a6] |
j |
-54744881152/335238123 |
j-invariant |
L |
1.1713479149506 |
L(r)(E,1)/r! |
Ω |
1.1713479149506 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8184d1 65472bt1 49104u1 |
Quadratic twists by: -4 8 -3 |