Atkin-Lehner |
3- 5+ 37- 67- |
Signs for the Atkin-Lehner involutions |
Class |
111555l |
Isogeny class |
Conductor |
111555 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
280320 |
Modular degree for the optimal curve |
Δ |
533564106795 = 316 · 5 · 37 · 67 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 1 0 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-75780,8048241] |
[a1,a2,a3,a4,a6] |
j |
66018128748425281/731912355 |
j-invariant |
L |
1.6777518270349 |
L(r)(E,1)/r! |
Ω |
0.83887620888039 |
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 |
37185h1 |
Quadratic twists by: -3 |