Atkin-Lehner |
3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42483o |
Isogeny class |
Conductor |
42483 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
41580 |
Modular degree for the optimal curve |
Δ |
-4998082467 = -1 · 3 · 78 · 172 |
Discriminant |
Eigenvalues |
0 3- 2 7+ 6 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3887,92054] |
[a1,a2,a3,a4,a6] |
j |
-3899392/3 |
j-invariant |
L |
4.0640392766265 |
L(r)(E,1)/r! |
Ω |
1.3546797588977 |
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 |
127449r1 42483i1 42483e1 |
Quadratic twists by: -3 -7 17 |