Atkin-Lehner |
2+ 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
39160g |
Isogeny class |
Conductor |
39160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
43076000000 = 28 · 56 · 112 · 89 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 11- -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3756,89300] |
[a1,a2,a3,a4,a6] |
j |
22896870049744/168265625 |
j-invariant |
L |
2.2945745780281 |
L(r)(E,1)/r! |
Ω |
1.1472872890333 |
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 |
78320e1 |
Quadratic twists by: -4 |