Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12168s |
Isogeny class |
Conductor |
12168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-139884930671616 = -1 · 210 · 314 · 134 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 -4 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49179,-4236154] |
[a1,a2,a3,a4,a6] |
Generators |
[283:2124:1] |
Generators of the group modulo torsion |
j |
-616966948/6561 |
j-invariant |
L |
2.4868486246057 |
L(r)(E,1)/r! |
Ω |
0.16019515526794 |
Real period |
R |
3.8809672808865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24336p1 97344co1 4056c1 12168h1 |
Quadratic twists by: -4 8 -3 13 |