Atkin-Lehner |
2- 3+ 23+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
111504j |
Isogeny class |
Conductor |
111504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-228360192 = -1 · 215 · 3 · 23 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -2 6 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,128,-512] |
[a1,a2,a3,a4,a6] |
j |
56181887/55752 |
j-invariant |
L |
1.9227086753175 |
L(r)(E,1)/r! |
Ω |
0.96135401729111 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13938g1 |
Quadratic twists by: -4 |