Atkin-Lehner |
2- 3- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
18054r |
Isogeny class |
Conductor |
18054 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
32203862074368 = 210 · 312 · 17 · 592 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7988,32919] |
[a1,a2,a3,a4,a6] |
j |
77314220407801/44175393792 |
j-invariant |
L |
5.6347417179527 |
L(r)(E,1)/r! |
Ω |
0.56347417179527 |
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 |
6018c1 |
Quadratic twists by: -3 |