Atkin-Lehner |
2- 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
18612l |
Isogeny class |
Conductor |
18612 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
54272592 = 24 · 38 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1560,23713] |
[a1,a2,a3,a4,a6] |
Generators |
[26:27:1] |
Generators of the group modulo torsion |
j |
35995648000/4653 |
j-invariant |
L |
4.9605943645125 |
L(r)(E,1)/r! |
Ω |
1.9177001027999 |
Real period |
R |
0.86224715346436 |
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 |
74448u1 6204e1 |
Quadratic twists by: -4 -3 |