Atkin-Lehner |
2- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66640t |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-4179660800 = -1 · 212 · 52 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 3 1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,-3116] |
[a1,a2,a3,a4,a6] |
j |
-49/425 |
j-invariant |
L |
2.5226726724318 |
L(r)(E,1)/r! |
Ω |
0.63066816672985 |
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 |
4165a1 66640cp1 |
Quadratic twists by: -4 -7 |